Answer:
Solving the inequality we get: [tex]\mathbf{x>-7}[/tex]
Step-by-step explanation:
We need to solve and graph the inequality [tex]3(7x+17) > -19 + 14x[/tex]
Solving:
[tex]3(7x+17) > -19 + 14x[/tex]
Step 1: Multiply 3 with terms inside the bracket
[tex]21x+51 > -19 + 14x[/tex]
Step 2:Subtracting 51 on both sides
[tex]21x+51-51 > -19 + 14x-51\\21x>14x-70\\[/tex]
Step 3: Subtract 14x on both sides
[tex]21x-14x>+14x-70-14x\\7x>-70[/tex]
Step 4: Divide both sides by 7
[tex]\frac{7x}{7}>\frac{-70}{7}\\x>-10[/tex]
Solving the inequality we get: [tex]\mathbf{x>-7}[/tex]
The graph is attached in the figure below.
