Question

Solve the inequality. 7(2 - x) - 4(2 - 3x) > 2 The solution is

A) x > 1
B) x < 3
C) x > 3
D) x < 1

Answer 1

The inequality 7(2 - x) - 4(2 - 3x) > 2 simplifies to x > -2/3 after distributing, combining like terms, and isolating x, making the answer option D) x < 1.

Step-by-step explanation:

To solve the inequality 7(2 - x) - 4(2 - 3x) > 2, we first distribute and then combine like terms.

• Distribute: 14 - 7x - 8 + 12x > 2
• Combine like terms: 6x + 6 > 2
• Subtract 6 from both sides: 6x > -4
• Finally, divide both sides by 6: x > -⅓

Therefore, the solution to the inequality is x > -⅓, which corresponds to option D) x < 1.