91Ó°ÊÓ

For exercises 37-52, (a) solve. (b) use a number line graph to represent the solution. (c) check the direction of the inequality sign. $$ 3(4 x-1) \leq 9(x-3) $$

For exercises 37-52, (a) solve. (b) use a number line graph to represent the solution. (c) check the direction of the inequality sign. $$ \frac{1}{12}>\frac{x}{96} $$

For exercises 55-64, (a) clear the decimals and solve. (b) check. $$ 0.2 x+5=8 $$

Solve \(V=\frac{L W T}{144}\) for \(T\).

Solve \(C=2 \pi r\) for \(r\).

Describe the difference between the properties of equality and the properties of inequality.

Solve \(P=\frac{1}{3} b h\) for \(h\).

Describe the difference in the solution of \(x<9\) and the solution of \(x \leq 9\).

Solve \(R=\frac{E+C}{L}\) for \(E\)

Each of the three sides of an equilateral triangle is the same length. If \(P\) is the perimeter of the triangle and \(L\) is the length of a side, write a formula in \(P\) and \(L\) for the perimeter of an equilateral triangle and solve this formula for \(L\).