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Chapter 4: Q. 508 (page 556)

Determine whether each ordered pair is a solution to the inequality x+y>4.

(a) (5, 1)

(b) (-2, 6)

(c) (3, 2)

(d) (10, -5)

(e) (0, 0)

Short Answer

Expert verified

(a),(c) and (d) satisfy the inequality.

Step by step solution

01

Step 1. Given information 

We have been given an inequality x+y>4.

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

02

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

x+y>45+1>?46>4

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

03

Part (b) Step 1. Substitute (-2, 6) in the given inequality.

x+y>4-2+6>?44鈮�4

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

04

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

x+y>43+2>45>4

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

05

Part (d) Step 1. Substitute (10, -5) in the given inequality.

x+y>410-5>45>4

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

06

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

x+y>40+0>?40鈮�4

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

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