Question

Solve the inequality. 6x + 6 < 4x − 3 A) x < 3 2 B) x < 9 2 C) x < − 3 2 D) x < − 9 2

Answer 1

D)
`x < - (9)/(2)`

Explanation:

Isolate the variable, x. Treat the less than sign like an equal sign, what you do to one side, you do to the other.

Subtract 4x and 6 from both sides:

6x (-4x) + 6 (-6) < 4x (-4x) -3 (-6)

6x - 4x < -3 - 6

Combine like terms:

(6x - 4x) < (-3 - 6)

(2x) < (-9)

Isolate the variable, divide 2 from both sides:

(2x)/2 < (-9)/2

x < (-9)/2

D)
`x < - (9)/(2)` is your answer.

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Answer 2

Steps to solve:

6x + 6 < 4x − 3

~Subtract 6 to both sides

6x < 4x - 9

~Subtract 4x to both sides

2x < -9

~Divide 2 to both sides

x < -9/2

Best of Luck!