Question

Solve each inequality. (Lessons 1-5 and 1-6)

66. $\mathbf{2}\mathbf{z}+\mathbf{5}\ge \mathbf{1475}$

Short answer

The solution of the given inequality is $z\ge 735$.

Step-by-step solution

– State the concept

Solving an inequality means modifying the inequality so that the variable is isolated.

– List the given data

The given inequality is $2z+5\ge 1475$.

– Solve the inequality

$2z+5\ge 1475$ (Given inequality)

$2z+5-5\ge 1475-5$(Subtract 5 from both sides of the inequality)

$2z\ge 1470$ (Simplify)

$\frac{2z}{2}\ge \frac{1470}{2}$ (Divide both sides of the inequality by 2)

$z\ge 735$ (Simplify)

So, the solution of the given inequality is $z\ge 735$.