Question

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!What is the solution to −3/4x+2≤−7 ?

x≥−12
x is greater than or equal to negative 12
x≥12
x is greater than or equal to 12
x≤12
x is less than or equal to 12
x≤−12
x is less than or equal to negative 12

Answer 1

`x\geq 12`

x is greater than or equal to 12

Explanation:

We first start off with recognizing that this is an inequality, and that the answer choices involve solving for
`x`.

I suggest that you write out the steps one-by-one and don't skip any so that making a mistake is less likely.

Rewrite the original equation:

`-(3)/(4)x + 2 \leq -7`

Use reverse PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) order to isolate
`x`:

Subtract 2 from both sides:
`-(3)/(4) x \leq -9`

Divide both sides by
`-(3)/(4)` (this flips the inequality symbol since we're dividing by a negative number):
`x\geq 12`

Your final answer is:

`x \geq 12`

x is greater than or equal to 12

If you want to do any further reading on this topic, search up videos and other helpful resources by putting, "Solving Inequalities" into your preferred search engine.