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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

y>x-3

鈸 (0, 0) 鈸 (2, 1) 鈸 (鈭1, 鈭5) 鈸 (鈭6, 鈭3) 鈸 (1, 0 )

Short Answer

Expert verified

(a)(0,0)is a solution

(b) (2,1)is a solution

(c)(-1,-5)is not a solution

(d) (-6,-3)is not a solution

(e)(1,0)is a solution

Step by step solution

01

Part (a)  Step 1: Given information

y>x-3

To check whether(0,0)is a solution to the equation

02

Part (a) Step 2: Calculation

Replace the value of x and y in y>x-3

Here x=0,y=0

0>0-30>-3

The solution(0,0)is a solution toy>x-3

03

Part (b) Step 1: Given information

y>x-3

To check whether(2,1)is a solution to the equation

04

Part (b) Step 2: Calculation

Replace the value of x and y in y>x-3

Here x=2,y=1

role="math" localid="1645950720625" 1>2-31>-1

The point (2,1)is a solution toy>x-3

05

Part (c) Step 1: Given information

y>x-3

To check whetherrole="math" (-1,-5)is a solution to the equation

06

Part (c) Step 2: Calculation

Replace the value of x and y in y>x-3

Here x=-1,y=-5

-5>-1-3-5-4

The point(-1,-5)is not a solution toy>x-3

07

Part (d) Step 1: Given information

y>x-3

To check whether (-6,-3)is a solution to the equation.

08

Part (d) Step 2: Calculation

Replace the values of x and y in y>x-3

Here x=-6,y=-3

-3>-6-3-3-9

The point(-6,-3)is not a solution toy>x-3

09

Part (e) Step 1: Given information

y>x-3

To check whether (1,0)is a solution to the equation

10

Part (e) Step 2: Calculation

Replace the values of x and y in y>x-3

Here x=1,y=0

0>1-30>-2

The point (1,0)is a solution toy>x-3

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