Solve the inequality.

5+7x≥11x+3−4x
(1 point)
Responses

x is less than or equal to negative 2

no solution

All real numbers

x≤2

1 answer

To solve the inequality 5+7x≥11x+3−4x, we first combine like terms on the right side:

5 + 7x ≥ 11x + 3 - 4x
5 + 7x ≥ 7x + 3

Next, we subtract 7x from both sides to isolate the variable:

5 ≥ 3

This inequality is always true, so the solution is x ≤ 2. Therefore, the correct answer is x ≤ 2.