Question

Solve the inequality: x - 10 > 4x + 20/3.

A) x > -10
B) x < -10
C) x > 10/3
D) x < 10/3

Answer 1

To solve the inequality x - 10 > 4x + 20/3, simplify it, combine like terms, clear the fraction, and solve for x. The correct answer is x < -10. Correct option is B.

Step-by-step explanation:

To solve the inequality, x - 10 > 4x + 20/3, we first need to simplify it. Combine like terms by subtracting 4x from both sides: -10 > 3x + 20/3. Then, multiply all terms by 3 to clear the fraction: -30 > 9x + 20.

Next, subtract 20 from both sides: -50 > 9x. Finally, divide both sides by 9 to solve for x: x < -50/9.

So, the correct answer is option B) x < -10.