The solution to the equation -4(2x - 3) = 36 is x = -3. The solution to the equation -4(2x - 3) > 36 is x < -3. The solutions are similar in that they both involve solving for x, but they are different in that the first equation is an equality and the second is an inequality.
Here's how to solve the equation -4(2x - 3) = 36:
- First, distribute the -4 to the terms inside the parentheses: -8x + 12 = 36
- Next, subtract 12 from both sides: -8x = 24
- Finally, divide both sides by -8: x = -3
Here's how to solve the inequality -4(2x - 3) > 36:
- First, distribute the -4 to the terms inside the parentheses: -8x + 12 > 36
- Next, subtract 12 from both sides: -8x > 24
- Finally, divide both sides by -8 and flip the inequality sign: x < -3
The solutions are similar in that they both involve solving for x, but they are different in that the first equation is an equality and the second is an inequality.