Answer:
Solving the inequality we get x>-9.33
The graph is shown in figure attached.
Step-by-step explanation:
We need to solve the inequality: [tex]34 > 3(2-x)[/tex]
Solving:
[tex]34 > 3(2-x)\\[/tex]
Switching the sides , reversing the inequality and Multiply 3 with terms inside the bracket
[tex]3(2-x)<34\\6-3x<34[/tex]
Subtract 6 from both sides
[tex]6-3x-6<34-6\\-3x<28[/tex]
Divide both sides by -3 and inequality will be reversed
[tex]\frac{-3x}{-3} >\frac{-28}{3} \\x>\frac{-28}{3}\\x>-9.33[/tex]
Solving the inequality we get x>-9.33
The graph is shown in figure attached.
