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Chapter 4: Q. 505 (page 556)

Determine whether each ordered pair is a solution to the inequality y>x-3.

(a) (0,0)

(b) (2,1)

(c) (-1,-5)

(d) (-6,-3)

(e) (1,0)

Short Answer

Expert verified

(a), (b), (d) and (e) satisfy the inequality.

Step by step solution

01

Step 1. Given information 

We have been given an inequality y>x-3.

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

02

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

y>x-30>?0-30>-3

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

03

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

y>x-31>?2-31>-1

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

04

Part (c) Step 1. Substitute (-1, -5) in the given inequality.

y>x-3-5>?-1-3-5鈮�-4

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

05

Part (d) Step 1. Substitute (-6, -3) in the given inequality.

y>x-3-3>?-6-3-3>-9

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

06

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

y>x-30>?1-30>-2

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

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