Solve the inequality.
3(h+5)<-6(h-4)
The first part, I know it 3h+15 < -6h.
add 6h to both sides.
subtract 15 from both sides.
The part I don't understand is if you take -6 x -4, will the thing be
3h+15 < -6h - 24 or 3h+15 < -6h + 24.
To solve the inequality 3(h+5) < -6(h-4), you need to simplify and isolate the variable h. Let's go step by step:
1. Distribute the 3 on the left side and the -6 on the right side:
3h + 15 < -6h + 24
2. Group the variable terms (h terms) on one side and the constant terms on the other side:
3h + 6h < 24 - 15
3. Combine like terms:
9h < 9
4. Divide both sides of the inequality by 9 to solve for h:
h < 1
So, the solution to the inequality is h < 1.