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-7x-50 is less than or equal to -1 and -6x +70is greater than -2?

1 Answer

2 votes

Answer:

x ≤ 7

Explanation:

7x-50≤ -1 and -6x +70> -2

Solve separately and then put back together

7x-50≤ -1

Add 50 to each side

7x-50+50≤ -1+50

7x ≤ 49

Divide each side by 7

7x/7 ≤ 49/7

x ≤ 7

-6x +70> -2

Subtract 70 from each side

-6x +70-70> -2-70

-6x> -72

Divide by -6, remembering to flip the inequality

-6x/-6 < -72/-6

x < 12

The first is more restrictive, and since it is an and, we use the more restrictive answer

User Kalim Sayyad
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