Answer:
The graph and the number line in the attached figure
Step-by-step explanation:
we have
[tex]-2x+7 < 23[/tex]
Solve for x
subtract 7 both sides
[tex]-2x+7-7 < 23-7[/tex]
[tex]-2x < 16[/tex]
Divide by -2 both sides
Remember
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
[tex]x > -8[/tex]
The solution is the interval (-8,∞)
All real numbers greater than -8
In a number line the solution is the shaded area at right of x=-8 (open circle)
The graph and the number line in the attached figure
