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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

01

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.

02

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

y>x-11>?0-11>-1

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

03

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

y>x-1-1>?-4-1-1>-5

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

04

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

2>4-12>?4-12鈮�3

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

05

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

y>x-10>?3-10鈮�2

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

06

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

y>x-1-3>?-2-1-3鈮�-3

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

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