Let's simplify the inequality step by step:
2x + 8 > -5(x - 3)2x + 8 > -5x + 15 (distribute -5 on the right side)2x + 8 + 5x > 15 (add 5x to both sides)7x + 8 > 15 (combine like terms)
Now, subtract 8 from both sides:7x > 7
Finally, divide by 7:x > 1
So, the solution for the inequality 2x + 8 > -5(x - 3) is x > 1.
Let's simplify the inequality step by step:
2x + 8 > -5(x - 3)
2x + 8 > -5x + 15 (distribute -5 on the right side)
2x + 8 + 5x > 15 (add 5x to both sides)
7x + 8 > 15 (combine like terms)
Now, subtract 8 from both sides:
7x > 7
Finally, divide by 7:
x > 1
So, the solution for the inequality 2x + 8 > -5(x - 3) is x > 1.