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Chapter 4: Q. 509 (page 556)

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

(a) (1, 1)

(b) (4, -3)

(c) (0, 0)

(d) (-8, 12)

(e) (3, 0)

Short Answer

Expert verified

(d) and (e) satisfy the inequality.

Step by step solution

01

Step 1. Given information 

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

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

02

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

x+y>21+1>?22鈮�2

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

03

Part (b) Step 1. Substitute (4, -3) in the given inequality.

x+y>24-3>?21鈮�2

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

04

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

x+y>20+0>?20鈮�2

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

05

Part (d) Step 1. Substitute (-8, 12) in the given inequality.

x+y>2-8+12>24>2

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

06

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

x+y>23+0>?23>2

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

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