Please solve the inequalities, (the results in set notation)(Headbang)

1) -2 (3+x)< 4x +4 < 8x

2) [2x - 4] < 10

3) 4 < -z - 4 < 11

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- December 29th 2009, 09:56 PMjay1solving inequalities
Please solve the inequalities, (the results in set notation)(Headbang)

1) -2 (3+x)< 4x +4 < 8x

2) [2x - 4] < 10

3) 4 < -z - 4 < 11 - December 29th 2009, 10:23 PMAusten Heller
1. 2 < x < 5 or (2, 5)

2. x < 7 or (-inf, 7)

3. -15 < z < -8 or (-15,-8) - December 30th 2009, 12:17 AMmr fantastic
1) Solve seperately: -6 - 2x < 4x + 4 and 4x + 4 < 8x:

-6 - 2x < 4x + 4 => -10 < 6x => 6x > -10 => x > -10/6.

4x + 4 < 8x => 4 < 4x => 4x > 4 => x > 1.

The answer will be the values of x common to both of these solutions.

Now try the others. If you need more help, please show your work and say where yuo get stuck.

The first answer is wrong - I haven't checked the others.