Question

Choose the missing step in the given solution to the inequality 2x - 14 > -4 - 3x.

2x - 14 > -4 - 3x

missing

-10 > -5x
2 < x

Answer 1

You can solve this by moving all the constants on one side, and the variables on the other.

Answer 2

okay yes start over

Answer 3

we have

2x - 14 > -4 - 3x

and we're going to put our x values all on the right side, to do this we need to SUBTRACT -2x from the left and right side.

-2x + 2x -14 > -4 -3x - 2x

This will give us

-14 > - 4 - 5x

Do you see how i did this so far?

Answer 4

yes i see that

Answer 5

okay, continuing.

we want to have our "x" value by itself on the right side of the inequality, and in order to do this we're going to have to ADD 4 to both sides of this inequality.

-14 + 4 > - 4 + 4 - 5x

This helps us isolate our -5x on one side and keep our constants on the other.

we can simplify this to

-10 > -5x

See how i did that?

Answer 6

ohh okay yes i see so now it would be 2 < x because you divide -10 and -5

Answer 7

Yes :)

-10/-5 < -5/-5 *x

2 < x

When dividing by a negative the inequality sign flips ! :)

Good job :D

Answer 8

Thank you so much !

Answer 9

np :)