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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-1:

鈸 (0, 1) 鈸 (鈭4, 鈭1) 鈸 (4, 2) 鈸 (3, 0) 鈸 (鈭2, 鈭3)

Short Answer

Expert verified

(a) (0,1)is a solution

(b) (-4,-1)is a solution

(c) (4,2)is not a solution

(d) (3,0)is not a solution

(e) (-2,-3)is not a solution

Step by step solution

01

Part (a) Step 1: Given information

y>x-1

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

02

Part (a) Step 2:  Calculation

Replace the value of xand yin y>x-1

Here x=0,y=1

1>0-11>-1

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

03

Part (b) Step 1: Given information

y>x-1

To check whether (-4,-1)is a solution to the equation

04

Part (b) Step 2: Calculation

Replace the value of xand yin y>x-1

Herex=-4,y=-1

-1>-4-1-1>-5

The point(-4,-1)is a solution toy>x-1

05

Part (c) Step 1: Given information

y>x-1

To check whether(4,2)is a solution to the equation

06

Part (c) Step 2: Calculation

Replace the value of xand yin y>x-1

Here role="math" localid="1645946732960" x=4,y=2

role="math" localid="1645946749725" 2>4-123

The point (4,2)is not a solution to y>x-1

07

Part (d) Given information :

y>x-1

To check whether (3,0)is a solution to the equation

08

Part (d) Step 2: Calculation

Replace the value of xand yin y>x-1

Here x=3,y=0

0>3-102

The point (3,0)is not a solution toy>x-1

09

Part (e) Step 1: Given information

y>x-1

To check whether (-2,-3)is a solution to the equation

10

Part (e) Step 2: Calculation

Replace the value of xand yin y>x-1

Herex=-2,y=-3

-3>-2-1-3-3

The point (-2,-3)is not a solution toy>x-1

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