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question 8 (1 point) solve the inequality. \\(\\frac{h}{4} > 48\\) \\(\…

Question

question 8 (1 point)
solve the inequality.
\\(\frac{h}{4} > 48\\)
\\(\circ\\) a \\(h > 12\\)
\\(\circ\\) b \\(h > 44\\)
\\(\circ\\) c \\(h > 192\\)

Explanation:

Step1: Multiply both sides by 4

To solve the inequality \(\frac{h}{4} > 48\), we multiply both sides of the inequality by 4. This is because we want to isolate \(h\) on one side. When we multiply both sides of an inequality by a positive number, the direction of the inequality sign remains the same. So we have:
\(4\times\frac{h}{4} > 4\times48\)

Step2: Simplify both sides

Simplifying the left - hand side, \(4\times\frac{h}{4}=h\). Simplifying the right - hand side, \(4\times48 = 192\). So the inequality becomes \(h>192\).

Answer:

c. \(h > 192\)