Posted by **Math asap** on Wednesday, November 10, 2010 at 6:28pm.

1)3/4+x>1 answer:x>1/4

2)10-3x<5 answer:x>5/3

3)|7-x|>2 answer:x>-5 x<-9

4)|x+0.5|=0.25 answer:x=-o.25,-0.75

thank you very very much!!!

- please check -
**Henry**, Thursday, November 11, 2010 at 10:09pm
Prob.1 and 2 are correct.

3. [7 - x] > 2.

Eq1: +(7 - x) > 2. Eq2: -(7 - 7)>2.

Eq1: +(7 - x) > 2,

7 - x > 2,

-x > 2 - 7,

-x > -5,

Divide both sides by -1 and reverse inequality sign:

x < 5.

Eq2: -(7 - x) > 2.

-7 + x > 2,

x > 2 + 7,

x > 9.

Solution set: x < 5, and x > 9.

Therefore, all values of x < 5 and

> 9 shuld satisfy the inequality.

Values of x between 5 and 9 should not

satisfy the inequality.

Eq3: 5 > x > 9.

4. CORRECT!!

You did great! you missed only one.

You forgot to reverse the inequality sign when you divided by -1.

Most students would have missed 3 and 4.

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