Question

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!!!

Answer 1

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.