3x-8>10
add eight to each side, then divide each side by three.
3x-8>10 Add 8 to both sides
+8 +8
3x > 18 now divide both sides by 3
/3 /3
x > 6
Note: the sign does not change unless you divide by a negative #
To solve the inequality 3x-8>10, we need to isolate the variable x by using the following steps:
Step 1: Add 8 to both sides of the inequality to cancel out the -8 on the left side:
3x - 8 + 8 > 10 + 8
This simplifies to:
3x > 18
Step 2: Divide both sides of the inequality by 3 to get the value of x:
(3x)/3 > 18/3
This simplifies to:
x > 6
So the solution to the inequality 3x-8 > 10 is x > 6.