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Chapter 4: Q. 506 (page 556)

Determine whether each ordered pair is a solution to the inequality y<x+2.

(a) (0,3)

(b) (-3, -2)

(c) (-2, 0)

(d) (0, 0)

(e) (-1, 4)

Short Answer

Expert verified

(b) and (d) satisfy the inequality.

Step by step solution

01

Step 1. Given information 

We have been given an inequality y<x+2.

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

02

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

y<x+23<?0+23鈮�2

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

03

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

y<x+2-2<?-3+2-2<-1

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

04

Part (c) Step 1. Substitute (-2, 0) in the given inequality.

y<x+20<?-2+20鈮�0

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

05

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

y<x+20<?0+20<2

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

06

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

y<x+24<?-1+24鈮�1

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

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