Question

Solve the inequality 4(a+6) >= 5(a+3)

Answer 1

Solving the inequality $4(a+6) >= 5(a+3)$ we get $a\leq 9$

Step-by-step explanation:

We need to solve the inequality: $4(a+6) >= 5(a+3)$

Solving:

$4(a+6) \geq 5(a+3)\\4a+24\geq 5a+15\\4a-5a\geq 15-24\\-a\geq -9$

When we divide both sides by -1, the inequality is reversed i.e greater than equal to(≥) is changed into less than equal to(≤)

$a\leq 9$

Solving the inequality $4(a+6) >= 5(a+3)$ we get $a\leq 9$

Keywords: Solving inequalities

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