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Chapter 4: Q. 4.137 (page 544)

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

  1. (0,0)
  2. (4,9)
  3. (−2,1)
  4. (−5,−3)
  5. (5,1)

Short Answer

Expert verified
  1. (0,0)is the solution of inequality.
  2. (4,9)is the solution of given inequality.
  3. (−2,1)is the solution of given inequality.
  4. (−5,−3) is the solution of given inequality.
  5. (5,1) is not the solution of given inequality.

Step by step solution

01

Part(a) Step 1. Given Information

We are given an inequality and some ordered pairs,

y>x-3

We have to find whether the given ordered pairs are solution of given inequality or not.

02

Part(a) Step 2. Checking the ordered pairs

Putting (0,0)in the inequality, we get

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

True, Hence 0,0is the solution of given inequality.

03

Part(b) Step 1. Checking the ordered pairs 

Putting (4,9)in the inequality, we get

y>x-39>4-39>1

True, Hence (4,9)is the solution of given inequality.

04

Part(c) Step 1. Checking the ordered pairs  

Putting (−2,1)in the inequality, we get

y>x-31>-2-31>-5

True, Hence (−2,1)is the solution of given inequality.

05

Part(d) Step 1. Checking the ordered pairs  

Putting (−5,−3)in the inequality, we get

y>x-3-3>-5-3-3>-8

True, Hence (−5,−3)is the solution of given inequality.

06

Part(e) Step 1. Checking the ordered pairs  

Putting (5,1)in the inequality, we get

y>x-31>5-31>2

False, Hence (5,1)is not the solution of given inequality.

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