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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 :

3x-4y>4

鈸 (5, 1) 鈸 (鈭2, 6) 鈸 (3, 2) 鈸 (10, 鈭5) 鈸 (0, 0) 242. Determine whether each ordered pair is a solution to the inequality 2x + 3y > 2 :

鈸 (5, 1) 鈸 (鈭2, 6) 鈸 (3, 2) 鈸 (10, 鈭5) 鈸 (0, 0)

Short Answer

Expert verified

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

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

(c)(3,2)is a solution

(d)(10,-5)is not a solution

(e)(0,0)is a solution

Step by step solution

01

Part (a) Step 1: Given information

3x-4y>4y>34x-1

To check whether(5,1)is a solution to the equation

02

Part (b) Step 2: Calculation

Replace the values of x and y in 3x-4y>4

Here x=5,y=1

1>345-11>154-11114

The point (5,1)is not a solution

03

Part (b) Step 1: Given information

3x-4y>4

y>34x-1

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

04

Part (b) Step 2: Calculation

Replace the values of x and y in 3x-4y>4

Here x=-2,y=6

y>34x-16>34(-2)-16>-52

The point(-2,6)is a solution

05

Part (c) Step 1: Given information

3x-4y>4y>34x-1

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

06

Part (c) Step 2: Calculation

Replace the value of x and y in 3x-4y>4

Here x=3,y=2

2>343-12>54

The point (3,2)is a solution
07

Part (d) Step 1: Given information

3x-4y>4

y>34x-1

To check whether (10,-5)is a solution to the equation

08

Part (d) Step 2: Calculation

Replace the values of x and y in 3x-4y>4

Here x=10,y=-5

-5>3410-1-5>152-1-5132

The point(10,-5)is not a solution

09

Part (e) Step 1: Given information

3x-4y>4y>34x-1

To check whether(0,0)is a solution

10

Part (e) Step 2: Calculation

Replace the value of x and y in 3x-4y>4

Here x=0,y=0

0>340-10>-1

The point(0,0)is a solution

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