solve the following?

1 ⤊

solve the following?

solve the following compound inequality and express the answer in interval notation.

3x < 9 and -2x < 4

2007-08-03 08:52:05 · 3 answers · asked by Monkey Kick 1 in Science & Mathematics ➔ Mathematics

3 answers

3x < 9
x < 3

-2x < 4
2x > 4
x > 2

So we need x such that 2 < x < 3. In interval notation, this is written as (2, 3). The parentheses shows that the endpoints are not included. If one or both endpoints were included, we would have used square brackets for the included values.

2007-08-03 08:55:02 · answer #1 · answered by DavidK93 7 · 1⤊ 0⤋

3x < 9 divided by 3
x < 3

-2x < 4 d ivided by -2
x > -2

3 > x > -2

2007-08-03 15:57:14 · answer #2 · answered by muhamed a 4 · 0⤊ 0⤋

x < 3 and x > 2

x is in (2, 3), or 2 < x < 3

2007-08-03 15:56:09 · answer #3 · answered by Anonymous · 0⤊ 1⤋