Question

9. What is the value to x in the inequality -4(6 + 5x) - 7 < - 9(2x+ 3)

Answer 1

x > -2 (last choice)

Explanation:

Using the distributive property multiple -4 to both integers

-24 - 20x - 7 < -18x - 27

-31 - 20x < -18x - 27

Add 27 on both sides

-4 - 20x < -18x

Add 20x on both sides

-4 < 2x

Divide each side by 2

x > -2

Answer 2

x
`\geq` -2

Explanation:

Remove parentheses and distribute -4 and -9, calculate the difference, move the variable and constant, collect like terms. ( -2x
`\leq` 4), and divide both sides, and you'll end with -2.