Question

solve the inequality.
z - 4.7 ≥ -1.6
the solution is.
graph the solution.

Explanation:

Step1: Isolate the variable z

Add 4.7 to both sides of the inequality.
$z-4.7 + 4.7\geq - 1.6+4.7$

Step2: Simplify the right - hand side

$z\geq3.1$

Answer:

$z\geq3.1$

To graph the solution:

1. On the number - line, find the point 3.1.
2. Since the inequality is $z\geq3.1$, we use a closed circle at 3.1 (because z can equal 3.1) and draw an arrow to the right to represent all the numbers greater than or equal to 3.1.