Inequalities and ABS

Question 1

If you have an inequality, can you multiply or divide by a variable?

Answer 1

No, because you don’t know the symbol of the hidden number (unless you know the variable counts people or measures length)

Question 2

How would you solve |2x+4| = 5

Answer 2

(2x+4) = 5 and -(2x+4)= 5

Question 3

When solving an inequality, what happens when two numbeers overlap in the numbeer line

Answer 3

Only the numbeers that fall in the range of both arrows will be solutions to the inequality

Question 4

What comes to mind when you see xy>0

Answer 4

Either both are positive, or both are negative!

Question 5

What comes to mind when you see xy<0

Answer 5

They have different signs

Question 6

What comes to mind when you see x^2 < x

Answer 6

they are 0 «< I think this is wrong btw

Question 7

Can you + - x / inequalities?

Answer 7

Only add. Multiply too, but doesn’t show up a lot on the GMAT. Never divide or substract inequalities.