Final answer:
To solve the given inequality, distribute the 4 to the terms inside the parentheses and then isolate the variable x. The inequality is x > -7.
Step-by-step explanation:
To solve the given inequality, we can start by distributing the 4 to the terms inside the parentheses:
4(7x - 5) > -216
28x - 20 > -216
Next, we can isolate the variable by adding 20 to both sides:
28x > -196
Now, divide both sides by 28 to solve for x:
x > -7
The inequality is x > -7.