Question

What is the first step in solving the following inequality?
A. Square both sides
B. Divide both sides by 2
C. Add 7 to both sides.
D. Divide both sides by 3.

Answer 1

Whats your guess???

Answer 2

and whats the inequality

Answer 3

What did i tell you to do last time?

Answer 4

I think its B

Answer 5

no.

Answer 6

So i should sqaure both sides first then ?

Answer 7

But i thought you had to get rid of the two first ?

Answer 8

In your given inequality, \[2\sqrt{3x-7}\ge1\]I can say that whatever works best for you. If you think dividing the inequality to 2 is the first easier step, then make it the first step. Or, getting the square root of both sides are easier, then make it your first step.
==> To get the inequality in a simpler form, you are right. Divide both sides by 2\[\sqrt{3x-7}\ge1/2\] \[(\sqrt{3x-7})^2\ge(1/2)^2\] \[3x-7\ge\frac{1}{4}\] \[3x \ge\frac{1}{4}\] \[3x \ge \frac{ 7+4 }{ 28 }\] \[3x \ge \frac{ 11 }{ 28 }\]\[\frac{ 3x }{3 } \ge \frac{ 11 }{ 28*3 }\]\[x \ge \frac{ 11 }{ 84 }\]