Question

Can someone help me for this question? Pls I need to know how I can solve this question!!!!

Answer 1

-1 <= (-3x + 5) / 7 <= 2

Multiply all sides by 7

-7 <= -3x + 5 <= 14

Subtract all sides by 5

-12 <= -3x <= 9

Divide all sides by -3 (remember when divide a negative, sign will be flipped)

4 >= x >= -3

or

-3 <=  x  <= 4

Answer 2

$-1 \leq \frac{-3x + 5}{7} \leq 2$

-7 ≤ -3x + 5 ≤ 14        multiplied all three sides by 7

-5         -5    -5

-12 ≤   -3x   ≤   9

4 ≥       x   ≥  -3         divided all three sides by -3 (which reversed the symbols)

Answer: -3 ≤ x ≤ 4

Graph: -3 --------------------- 4  

Interval Notation: [-3, 4]