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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<-2x+5

鈸 (鈭3, 0) 鈸 (1, 6) 鈸 (鈭6, 鈭2) 鈸 (0, 1) 鈸 (5, 鈭4)

Short Answer

Expert verified

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

(b)(1,6)is not a solution

(c)(-6,-2)is a solution

(d)(0,1)is a solution

(e)(5,-4)is not a solution

Step by step solution

01

Part (a) Step 1: Given information

y<-2x+5

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

02

Part (a) Step 2: Calculation

Replace the values of x and y in y<-2x+5

Here x=-3,y=0

0<-2(-3)+50<6+5011

The point (-3,0)is not a solution.

03

Part (b) Step 1: Given information

y<-2x+5

To check whether(1,6)is a solution to the equation

04

Part (b) Step 2: Calculation

Replace the values of x and y in y<-2x+5

Here x=1,y=6

6<-21+563

The point (1,6)is not a solution.

05

Part (c) Step 1: Given information

y<-2x+5

To check whether (-6,-2)is a solution to the equation

06

Part (c) Step 2: Calculation

Replace the values of x and y in y<-2x+5

Here x=-6,y=-2

-2<-2(-6)+5-2<12+5-2<17

The point (-6,-2)is a solution.

07

Part (d) Step 1: Given information

y<-2x+5

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

08

Part (d) Step 2: Calculation

Replace the values of x and y in y<-2x+5

Here x=0,y=1

1<-20+51<5

The point(0,1)is a solution

09

Part (e) Step 1: Given information

y<-2x+5

To check whether(5,-4)is a solution to the equation

10

Part (e) Step 2: Calculation

Replace the values of x and y in y<-2x+5

Here x=5,y=-4

-4<-25+5-4-5

The point(5,-4)is not a solution

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