Solve the inequality

Question

`\frac{3}{4}g-5\le28`

Answer 1

To solve the inequality, we can first add 5 to both sides of the equation to isolate the g term:

\frac{3}{4}g - 5 + 5 ≤ 28 + 5

This simplifies to:

\frac{3}{4}g ≤ 33

Next, we can multiply both sides of the inequality by 4 to eliminate the denominator:

4 * (\frac{3}{4}g) ≤ 4 * 33

This gives us:

3g ≤ 132

Finally, we divide both sides of the inequality by 3 to solve for g:

\frac{3g}{3} ≤ \frac{132}{3}

This simplifies to:

g ≤ 44

Therefore, the solution to the inequality is g ≤ 44.