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Colby must spend less than 231 minutes playing video games in one day. He plays different games for 21 minutes each, and Colby has already played 84 minutes today 21x + 84 < 231 How many more games can Colby play today? OA. x < 147 B. x < 84 OC. x < 21 lung D. x < 7

Answer :

Step 1

Let

x -------> the number of games

we have that

solve the inequality

21x+84 < 231

subtract 84 both sides

21x<231-84

21x< 147

divide by 21 both sides

x< 147/21

x< 7

the answer is the option D

Part 2

we have the inequality

5x+25 > 85

solve for x

5x > 85-25

5x> 60

divide by 5 both sides

x> 12

Option A

Part 3

we have the inequality

x/5 -4 <=7

Multiply both sides by 5

x-20 <=35

Adds 20 both sides

x <=35+20

x<=55

solution option C

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