solving 1/3h+5 is greater then or equal to 1/6h+1 ([tex]\frac{1}{3}h+5\geq \frac{1}{6}h+1[/tex]) we get [tex]h\geq -24[/tex]
Step-by-step explanation:
We need to solve 1/3h+5 is greater then or equal to 1/6h+1
Writing in mathematical form:
[tex]\frac{1}{3}h+5\geq \frac{1}{6}h+1[/tex]
Solving and finding value of h
Adding -5 on both sides
[tex]\frac{1}{3}h+5-5\geq \frac{1}{6}h+1-5\\\frac{1}{3}h\geq \frac{1}{6}h-4[/tex]
Adding -1/6h on both sides
[tex]\frac{1}{3}h-\frac{1}{6}h\geq \frac{1}{6}h-4-\frac{1}{6}h\\\frac{1*2h-1*1h}{6}\geq -4\\\frac{2h-1h}{6}\geq -4\\\frac{1h}{6}\geq -4\\h\geq -4*6\\h\geq -24[/tex]
So, solving 1/3h+5 is greater then or equal to 1/6h+1 ([tex]\frac{1}{3}h+5\geq \frac{1}{6}h+1[/tex]) we get [tex]h\geq -24[/tex]
Keywords: Solving inequalities
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