Question

1<3x-2<4????

Answer 1

first add 2 to all sides

Answer 2

1<3x-2<4

1+2<3x-2+2<4+2

3 < 3x + 0 < 6

3 < 3x < 6

Answer 3

what's next?

Answer 4

canceling out the 3?

Answer 5

so are you multiplying all sides by 3? or dividing all sides by 3?

Answer 6

dividing

Answer 7

good

Answer 8

3 < 3x < 6

3/3 < 3x/3 < 6/3

1 < 1x < 2

1 < x < 2

Answer 9

thank you!

Answer 10

Note: if x is an integer (or whole number), then there are no solutions since there are no whole numbers between 1 and 2. If x is any real number, then there are solutions

Answer 11

yw