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

Solution:

Inequalities are one of the most important topics which are extensively used in algebra, trigonometry, and calculus problems.

To solve the inequality -4(2x - 1) > 5 - 3x, we follow the below steps:

• First, open the brackets: -8x + 4 > 5 - 3x
• Next, rearrange the variables and constants: -8x + 3x > 5 - 4
• Next, perform the addition or subtraction operations: -5x > 1
• Next, divide both the sides by 5 to get the final result: -5x/5 > 1/5 ⇒ x < -1/5

Hence, the final solution of the inequality given is x < -0.2.

Therefore, the first step in solving the given inequality is to use the distributive property and open the brackets, that is, -8x + 4 > 5 - 3x.

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

Summary:

The first step in solving the given inequality is to use the distributive property and open the brackets, that is, -8x + 4 > 5 - 3x.