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.

Option A is correct.

The first step in solving the inequality is:

to distribute -4 to get  

Step-by-step explanation:

The distributive property says that:

Given the inequality:

Apply the distributive property we have;

Simplify:

Therefore, the first step in solving the inequality is:

to distribute -4 to get  

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

The inequality –4(2x – 1) > 5 – 3x.

We will solve the problem of inequality of one variable. Here are the steps:

Step-1: Distribute –4 to get –8x + 4 > 5 – 3x.

–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.

Step-2: Subtract 4 from both sides of the inequality

-8x + 4 - 4 > 5 - 4 – 3x

-8x > 1 – 3x

Step-3: Add 3x from both sides of the inequality

-8x + 3x > 1 – 3x + 3x

-5x > 1

Step-4: Divide -5 from both sides of the inequality

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

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a