Solving the inequality [tex]4(a+6) >= 5(a+3)[/tex] we get [tex]a\leq 9[/tex]
Step-by-step explanation:
We need to solve the inequality: [tex]4(a+6) >= 5(a+3)[/tex]
Solving:
[tex]4(a+6) \geq 5(a+3)\\4a+24\geq 5a+15\\4a-5a\geq 15-24\\-a\geq -9\\[/tex]
When we divide both sides by -1, the inequality is reversed i.e greater than equal to(≥) is changed into less than equal to(≤)
[tex]a\leq 9[/tex]
Solving the inequality [tex]4(a+6) >= 5(a+3)[/tex] we get [tex]a\leq 9[/tex]
Keywords: Solving inequalities
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