Solve the inequality $\dfrac{4x+3}{-2} \le 5$ .

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Worked solution

1. Remove the denominator and reverse the inequality sign because multiplying by a negative number

$\frac{4x+3}{-2} \leq 5$
Multiply both sides by $-2$ :
$4x+3 \geq -10$

2. Solve the resulting linear inequality for $x$

$4x+3 \geq -10$
$4x \geq -13$
$x \geq -\frac{13}{4}$

Answer

$x \geq -\dfrac{13}{4}$

AI analysis — may contain mistakes.

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