Solve for x.%0D%0A%0D%0A5(x − 3) − 6(x − 2) > 8x + 2%0D%0AResponses%0D%0A%0D%0AA%09x > %0D%0A %0D%0A5%0D%0A9%0D%0Ax > 5 9%0D%0A%0D%0AB%09x < %0D%0A %0D%0A5%0D%0A9%0D%0Ax < 5 9%0D%0A%0D%0AC%09x > −%0D%0A %0D%0A5%0D%0A9%0D%0Ax > − 5 9%0D%0A%0D%0AD%09x < −%0D%0A %0D%0A5%0D%0A9%0D%0Ax < − 5 9%0D%0A%0D%0AE%09x > −
To solve the inequality 5(x - 3) - 6(x - 2) > 8x + 2, we need to simplify the expression on both sides and then solve for x.
First, distribute 5 and 6 to their respective terms:
5x - 15 - 6x + 12 > 8x + 2
Combine like terms:
-x - 3 > 8x + 2
Add x to both sides:
-3 > 9x + 2
Subtract 2 from both sides:
-5 > 9x
Divide both sides by 9 (remember to reverse the inequality sign when dividing by a negative number):
x < -5/9
So the solution is x < -5/9.
Therefore, the answer is:
B) x < 5/9