Question

Find all real numbers X such that
18x-9>9 AND 2x-4>-10

Answer 1

Consider 18x-9>9
1. add 9 to both sides
2. divide both sides by the coefficient of x (that is 18 in this case)

Consider 2x-4>-10
1. add 4 to both sides
2. divide both sides by the coefficient of x (that is 2 in this case)

The final solution should be the numbers satisfying both inequalities.

Answer 2

is the second one x>-1?

Answer 3

@callisto

Answer 4

Nope.
2x-4>-10
Add 4 to both sides, what do you get?

Answer 5

6x>-6

Answer 6

@callisto

Answer 7

How did you get 6x for the left?

Answer 8

I added 4

Answer 9

Hmm.. if you add 4 to both sides...
2x-4>-10
2x-4 + 4 >-10 +4
2x > -6

It's -4 and 4 cancelled out as -4 + 4 = 0
2x is not affected since it's not the like term

Answer 10

okay so the first one is x>1

Answer 11

Yes.

Answer 12

the second one is x>-3

Answer 13

Yes.
And the overall solution is ... ?

Answer 14

idk

Answer 15

Hmm... Draw the number line...
For the first one, x>1

Can you try the second one?