Q66. - Algebra 2

Question

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

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

Step-by-Step Solution

Answer

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

Step 1 – State the concept

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

Step 2 – List the given data

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

Step 3 – 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 $z\ge 735$.