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2. \\(\\frac{x}{-2} + 1 \\leq 2\\)

Question

  1. \\(\frac{x}{-2} + 1 \leq 2\\)

Explanation:

Step1: Subtract 1 from both sides

$\frac{x}{-2} + 1 - 1 \leq 2 - 1$
Simplify to get $\frac{x}{-2} \leq 1$

Step2: Multiply both sides by -2 (reverse inequality)

When multiplying or dividing an inequality by a negative number, the inequality sign flips.
$x \geq -2$ (because $\frac{x}{-2} \times (-2) \geq 1 \times (-2)$)

Answer:

$x \geq -2$