3x-8>5
3x-8>5
So
3x>5+8
3x>13
x<13/3
x<4.3333333333(forever)
dividing by a positive value does not change the direction of the inequality.
x > 13/3
To solve the inequality 3x - 8 > 5, we need to isolate the variable, which in this case is x. Here are the steps to do that:
Step 1: Add 8 to both sides of the inequality. This is done to move the constant term (-8) to the other side of the inequality.
3x - 8 + 8 > 5 + 8
3x > 13
Step 2: Divide both sides of the inequality by 3. This is done to isolate the variable x by itself.
(3x)/3 > 13/3
x > 13/3
So, the solution to the inequality 3x - 8 > 5 is x > 13/3.
To verify this solution, you can substitute any value greater than 13/3 into the original inequality and check if it holds true. Conversely, you can also substitute a value less than or equal to 13/3 and see if the inequality is false.