Question

Identify the solution and graph of the given inequality. 34 > 3(2 − x)

Answer 1

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: $34 > 3(2-x)$

Solving:

$34 > 3(2-x)$

Switching the sides , reversing the inequality and  Multiply 3 with terms inside the bracket

$3(2-x)$

Subtract 6 from both sides

$6-3x-6$

Divide both sides by -3 and inequality will be reversed

$\frac{-3x}{-3} >\frac{-28}{3} \\x>\frac{-28}{3}\\x>-9.33$

Solving the inequality we get x>-9.33

The graph is shown in figure attached.