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Solve the inequality: 2/3 - (x-1) >= 8

April 17, 2026Mathematics

ScanSolve AI Answer

Answer

x \le -\frac{19}{3}

4 steps

Here is the solution for the inequality:

\frac{2}{3} - (x-1) \ge 8

Distribute the negative sign into the parenthesis.
$\frac{2}{3} - x + 1 \ge 8$
Combine the constant terms on the left side.
$\frac{2}{3} + \frac{3}{3} - x \ge 8$ $\frac{5}{3} - x \ge 8$
Subtract $\frac{5}{3}$ from both sides.
$-x \ge 8 - \frac{5}{3}$ $-x \ge \frac{24}{3} - \frac{5}{3}$ $-x \ge \frac{19}{3}$
Multiply both sides by $-1$ .
Remember to reverse the inequality sign when multiplying or dividing by a negative number.
$x \le -\frac{19}{3}$

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