Question

solve the linear inequality for z and graph the answer in the number line. then write the solution in inequality notation. z + 2 > -3 show your work here hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Isolate the variable \( z \)

Subtract \( 2 \) from both sides of the inequality \( z + 2> - 3 \).
Using the subtraction property of inequalities: \( z+2 - 2> - 3 - 2 \).
Simplify to get \( z> - 5 \).

Answer:

The solution in inequality notation is \( z> - 5 \). On the number - line, there is an open circle at \( z = - 5 \) (because the inequality is strict, \( z
eq - 5 \)) and the line extends to the right (towards larger values of \( z \)).