solve the inequality:
-2(x-3)>3x+4
this is what I got, but did not think this could be correct:
-2(x-3)>3x+4
-2x+6>3x+4
-2x-3x>4-6
-5x>-2
x<2/5
you are correct.
thank you!
To solve the inequality -2(x-3) > 3x + 4, follow these steps:
Step 1: Distribute the -2 on the left side of the inequality:
-2x + 6 > 3x + 4
Step 2: Combine like terms by subtracting 6 from both sides:
-2x + 6 - 6 > 3x + 4 - 6
-2x > 3x - 2
Step 3: Move all the terms involving x to one side of the inequality by subtracting 3x from both sides:
-2x - 3x > 3x - 3x - 2
-5x > -2
Step 4: Divide both sides of the inequality by -5. Whenever you divide or multiply an inequality by a negative number, you need to reverse the inequality symbol:
-5x / -5 < -2 / -5
x < 2/5
So, the solution to the inequality is x < 2/5.