Does The Point $(1,9)$ Make The Inequality $x \ \textgreater \ 1$ True?A. Yes B. No

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Introduction

In mathematics, inequalities are used to compare the values of different variables. They are an essential part of mathematical expressions and are used to represent various relationships between numbers. In this article, we will discuss whether the point (1,9) makes the inequality x > 1 true or not.

Understanding the Inequality

The given inequality is x > 1. This means that the value of x must be greater than 1 for the inequality to be true. In other words, any value of x that is greater than 1 will satisfy the inequality.

Understanding the Point

The point (1,9) represents a coordinate in a two-dimensional plane. The first coordinate, 1, represents the x-coordinate, and the second coordinate, 9, represents the y-coordinate. This point lies on the line x = 1, which means that the x-coordinate of the point is equal to 1.

Does the Point Make the Inequality True?

To determine whether the point (1,9) makes the inequality x > 1 true, we need to compare the x-coordinate of the point with the value 1. Since the x-coordinate of the point is equal to 1, it does not satisfy the inequality x > 1. In other words, the point (1,9) does not make the inequality x > 1 true.

Conclusion

In conclusion, the point (1,9) does not make the inequality x > 1 true. This is because the x-coordinate of the point is equal to 1, which does not satisfy the inequality. Therefore, the correct answer is B. No.

Frequently Asked Questions

  • What is the inequality x > 1? The inequality x > 1 means that the value of x must be greater than 1 for the inequality to be true.
  • What is the point (1,9)? The point (1,9) represents a coordinate in a two-dimensional plane with an x-coordinate of 1 and a y-coordinate of 9.
  • Does the point (1,9) make the inequality x > 1 true? No, the point (1,9) does not make the inequality x > 1 true because the x-coordinate of the point is equal to 1.

Final Thoughts

In this article, we discussed whether the point (1,9) makes the inequality x > 1 true or not. We concluded that the point does not make the inequality true because the x-coordinate of the point is equal to 1. This article provides a clear understanding of inequalities and how to determine whether a point makes an inequality true or not.

Related Topics

  • Inequalities in mathematics
  • Coordinate geometry
  • Algebraic expressions

References

Introduction

In our previous article, we discussed whether the point (1,9) makes the inequality x > 1 true or not. In this article, we will answer some frequently asked questions related to inequalities and coordinate geometry.

Q&A

Q1: What is the difference between an inequality and an equation?

A1: An inequality is a mathematical statement that compares two expressions using a relation such as greater than (>), less than (<), greater than or equal to (≥), or less than or equal to (≤). An equation, on the other hand, is a mathematical statement that states that two expressions are equal.

Q2: How do I determine whether a point makes an inequality true or not?

A2: To determine whether a point makes an inequality true or not, you need to compare the x-coordinate of the point with the value specified in the inequality. If the x-coordinate is greater than, less than, greater than or equal to, or less than or equal to the specified value, then the point makes the inequality true.

Q3: What is the significance of the x-coordinate in a point?

A3: The x-coordinate of a point represents the horizontal distance of the point from the origin. It is used to determine whether a point lies to the left or right of the origin.

Q4: How do I graph an inequality on a coordinate plane?

A4: To graph an inequality on a coordinate plane, you need to draw a line that represents the boundary of the inequality. If the inequality is of the form x > a, you need to draw a line that is to the right of the point (a,0). If the inequality is of the form x < a, you need to draw a line that is to the left of the point (a,0).

Q5: Can a point have two different x-coordinates?

A5: No, a point cannot have two different x-coordinates. The x-coordinate of a point is a unique value that represents the horizontal distance of the point from the origin.

Q6: How do I determine whether a point lies inside or outside a region defined by an inequality?

A6: To determine whether a point lies inside or outside a region defined by an inequality, you need to compare the x-coordinate of the point with the boundary of the inequality. If the x-coordinate is within the boundary, then the point lies inside the region. If the x-coordinate is outside the boundary, then the point lies outside the region.

Q7: Can an inequality have multiple solutions?

A7: Yes, an inequality can have multiple solutions. For example, the inequality x > 2 has multiple solutions, including x = 3, x = 4, x = 5, and so on.

Q8: How do I solve a system of inequalities?

A8: To solve a system of inequalities, you need to find the intersection of the regions defined by each inequality. This can be done by graphing each inequality on a coordinate plane and finding the region where the two inequalities overlap.

Conclusion

In this article, we answered some frequently asked questions related to inequalities and coordinate geometry. We hope that this article has provided a clear understanding of these concepts and has helped you to better understand how to work with inequalities and coordinate geometry.

Frequently Asked Questions

  • What is the difference between an inequality and an equation?
  • How do I determine whether a point makes an inequality true or not?
  • What is the significance of the x-coordinate in a point?
  • How do I graph an inequality on a coordinate plane?
  • Can a point have two different x-coordinates?
  • How do I determine whether a point lies inside or outside a region defined by an inequality?
  • Can an inequality have multiple solutions?
  • How do I solve a system of inequalities?

Related Topics

  • Inequalities in mathematics
  • Coordinate geometry
  • Algebraic expressions

References