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Chapter 4: Q. 671 (page 573)

In the following exercises, determine whether each ordered pair is a solution to the given inequality.

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

a)localid="1647708665014" (6,1)

b)localid="1647708670168" (-3,6)

c)localid="1647708675292" (3,2)

d)localid="1647708681747" (-5,10)

e)localid="1647708686786" (0,0)

Short Answer

Expert verified

The ordered pairs a) (6,1), c) (3,2), d) (-5,10)are the solutions to the inequality.

Step by step solution

01

Step 1. Given information 

Given inequality is x+y>4.

Given ordered pairs are:

a)(6,1)

b)(-3,6)

c)(3,2)

d)(-5,10)

e)(0,0)

We have to find the solutions among the given ordered pairs to the given equality.

02

Step 2. Definition of Solution

An ordered pair (x,y)is a solution of the linear inequality if the pair of values satisfy the inequality when substituted.

03

Step 3. Substituting the ordered pairs

Substitute the given ordered pairs in the given inequality:

a) 6+1>4⇒7>4True

b) -3+6>4⇒3>4False

c) 3+2>4⇒5>4True

d) -5+10>4⇒5>4True

e) 0+0>4⇒0>4False

Therefore the inequality is true for only ordered pairs a, c, d.

Hence(6,1);(3,2);(-5,10)are solutions among the given ordered pairs.

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Most popular questions from this chapter

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