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Subtract 2 from both sides of the inequality.

April 17, 2026Mathematics

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Answer

x > -6

Step-by-step solution

2 steps

Here is the solution for the inequality:

2 - \frac{1}{2}x < 5

Subtract 2 from both sides of the inequality.
$-\frac{1}{2}x < 5 - 2$ $-\frac{1}{2}x < 3$
Multiply both sides by $-2$ .
When multiplying or dividing an inequality by a negative number, you must reverse the direction of the inequality sign.
$x > 3 \times (-2)$ $x > -6$

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