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What is the solution to the inequality 8(7 - x) < 64?

a. X<-1
b. x<1
C. X > -1
d. x > 1​

User Rodpl
by
5.7k points

2 Answers

3 votes

Answer:

The answer is c, or x > -1.

Explanation:

Problem: 8(7-x) < 64

Distributive Property - So multiply 8 by both 7 and x individually

56 - 8x < 64

Subtract 56 from both sides

-8x<8

Divide both sides by 8 and flip the sign because whenever you divide or multiply an inequality by a negative number, you flip the sign.

x>-1

Hope that helped!

User Gyom
by
5.8k points
5 votes

Answer:

C) x > - 1

Explanation:

8(7 - x) < 64

56 - 8x < 64

56 - 64 < 8x

- 8 < 8x

- 1 < x

x > - 1

User Matus Dubrava
by
5.7k points