Question

Step 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________ What is the final step in solving the inequality –2(5 – 4x) < 6x – 4? a. x < –3 b. x > –3 c. x < 3 d. x > 3

Answer 1

The final step in solving the inequality -2(5 - 4x) < 6x - 4 is to simplify the expression and solve for x. The answer is x<-3. Therefore, the correct option is a).

Step-by-step explanation:

The final step in solving the inequality -2(5 - 4x) < 6x - 4 is to simplify the expression.

Step 1: Distribute -2 to the terms inside the parentheses: -10 + 8x < 6x - 4x

Step 2: Simplify the expression: -10 + 8x < 6x - 4

Step 3: Combine like terms: 8x - 6x < 4 - 10

Step 4: Simplify further: 2x < -6

= x < -3

The final step is to divide both sides of the inequality by 6 to solve for x. Dividing by a negative number flips the inequality sign, so the answer is: x < -3

The solution to the given inequality is x < -3. Therefore, the correct option is a).