Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

distribute –4 to get –8x + 4 > 5 – 3x.
distribute –4 to get –8x – 1 > 5 – 3x.
subtract 2x from both sides of the inequality.
add 1 to both sides of the inequality.

Distribute –4 to get –8x + 4 > 5 – 3x.

We will solve the problem of inequality of one variable.

The inequality is –4(2x – 1) > 5 – 3x.

Here are the steps:

–4(2x – 1) > 5 – 3x

-4(2x) + (-4)(-1) > 5 – 3x

-8x + 4 > 5 – 3x

Therefore, a correct first step in solving the inequality: Distribute –4 to get –8x + 4 > 5 – 3x.

-8x + 4 - 4 > 5 - 4 – 3x

-8x > 1 – 3x

-8x + 3x > 1 – 3x + 3x

-5x > 1

Thus, the solution is  

- - - - - - - - - -

Notes:

Keywords: a correct first step, in solving the inequality, one variable, distribute, add, subtract, divide, multiply, sign, minus, negative, solution, distributive property

the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !

step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.