Question

If x is an integer, what is the minimum value of x that satisfies the inequality below?

6x−3(2x−1)>7−4(x+2)

Answer 1

1) Solve the parentheses

6x-6x+3>7-4x-8

2) Simplify

3>-1-4x

3) Add 1 on both sides

4>-4x

4) Divide both sides by -4 (Dividing a negative number flips the sign)

-1
X must be greater than -1 to satisfy the inequality

Answer 2

FIRST STEP TO A ANSWER THIS QUESTION IS TO SIMPLIFY THE INEQUALITY.

`6x - 6x + 3 > 7 - 4x - 8 \\ 3 > 7 - 4x - 8 \\ 4x > 7 - 8 - 3 \\ 4x > - 4 \\ (4x)/(4) > ( - 4)/(4) \\ x > - 1`

IF THEY SAY X IS AN INTEGER THEREFORE THE MINIMUM VALUE OF X TO SATISFY THE INEQUALITY IS 0

x=0 is the answer