Chapter 4: Q. 504 (page 556)

Determine whether each ordered pair is a solution to the inequality $y > x - 1$ .
(a) (0,1)
(b) (-4,-1)
(c) (4,2)
(d) (3,0)
(e) (-2,-3)

Short Answer

Expert verified

(a) and (b) satisfy the inequality.

Step by step solution

Step 1. Given information

We have been given an inequality $y > x - 1$ .

We have to check whether each ordered pair is a solution to this inequality.

Part (a) Step 1. Substitute (0,1) in the given inequality.

$y > x - 1 1 \overset{?}{>} 0 - 1 1 > - 1$

Since the inequality is satisfied, this ordered pair is a solution to the inequality.

Part (b) Step 1. Substitute (-4,-1) in the given inequality.

$y > x - 1 - 1 \overset{?}{>} - 4 - 1 - 1 > - 5$

Since the inequality is satisfied, this ordered pair is a solution to the inequality.

Part (c) Step 1. Substitute (4,2) in the given inequality.

$2 > 4 - 1 2 \overset{?}{>} 4 - 1 2 ≯ 3$

Since the inequality is not satisfied, this ordered pair is not a solution to the inequality.

Part (d) Step 1. Substitute (3,0) in the given inequality.

$y > x - 1 0 \overset{?}{>} 3 - 1 0 ≯ 2$

Since the inequality is not satisfied, this ordered pair is not a solution to the inequality.

Part (e) Step 1. Substitute (-2,-3) in the given inequality.

$y > x - 1 - 3 \overset{?}{>} - 2 - 1 - 3 ≯ - 3$

Since the inequality is not satisfied, this ordered pair is not a solution to the inequality.

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Determine whether each ordered pair is a solution to the inequality $y > x - 1$ .
(a) (0,1)
(b) (-4,-1)
(c) (4,2)
(d) (3,0)
(e) (-2,-3)

Short Answer

Step by step solution

Step 1. Given information

Part (a) Step 1. Substitute (0,1) in the given inequality.

Part (b) Step 1. Substitute (-4,-1) in the given inequality.

Part (c) Step 1. Substitute (4,2) in the given inequality.

Part (d) Step 1. Substitute (3,0) in the given inequality.

Part (e) Step 1. Substitute (-2,-3) in the given inequality.

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x	y	(x,y)
0
2
-1

Determine whether each ordered pair is a solution to the inequality y>x-1.(a) (0,1)(b) (-4,-1)(c) (4,2)(d) (3,0)(e) (-2,-3)

Short Answer

Step by step solution

Step 1. Given information

Part (a) Step 1. Substitute (0,1) in the given inequality.

Part (b) Step 1. Substitute (-4,-1) in the given inequality.

Part (c) Step 1. Substitute (4,2) in the given inequality.

Part (d) Step 1. Substitute (3,0) in the given inequality.

Part (e) Step 1. Substitute (-2,-3) in the given inequality.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Calculus

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Statistics

Study anywhere. Anytime. Across all devices.

Determine whether each ordered pair is a solution to the inequality $y > x - 1$ .
(a) (0,1)
(b) (-4,-1)
(c) (4,2)
(d) (3,0)
(e) (-2,-3)