1/2x+3<2x-6
how to do it?
plz help....
subtract 1/2 x from both sides
add six to both sides.
You take if from there. I will be happy to check your work.
i am not sure if its correct:
1/2x+3<2x-6
3<2x-1/2x-6
3-6<2x-1/2x
-3<1.5x
-3/1.5<x
-2<x
i dotn think its correct ...is it???
somebody plz check it
You were supposed to ADD 6 to both sides.
9 < (3/2) x
18 < 3x
6 < x
To solve the inequality 1/2x + 3 < 2x - 6, you can follow these steps:
Step 1: Simplify the inequality.
Start by combining like terms on both sides of the inequality. Subtract 1/2x from both sides and add 6 to both sides:
(1/2x + 3) - (1/2x) < (2x - 6) - (1/2x) + 6
Simplifying further, we get:
3 < 5/2x - 6
Step 2: Isolate the variable.
To isolate the variable on one side of the inequality, we need to move all other terms to the other side. Add 6 to both sides of the inequality:
3 + 6 < 5/2x - 6 + 6
Simplifying further:
9 < 5/2x
Step 3: Solve for x.
Next, divide both sides of the inequality by 5/2 or multiply by its reciprocal, which is 2/5:
(9)(2/5) < (5/2x)(2/5)
Simplifying:
18/5 < x
Therefore, x is greater than 18/5, or 3.6.