SOLUTION: my daughter needs help with this question: -2<=5-x<=2 the 5-x is over 3 thanks

Question 7197: my daughter needs help with this question:
-2<=5-x<=2 the 5-x is over 3
thanks
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
This is a compound inequality and is read as: (5-x)/3 is greater than or equal to -2 and is less than or equal to 2. For this compound inequality to be true, both inequalities must be true. If either one is false, then the compound inequality is false.
Try this:
Multiply everything by 3.
Subtract 5 from everything.
Divide everything by -1 (Don't forget to reverse the order of the <= signs)
This reads:
x is less than or equal to 11 and x is greater than or equal to -1
Check:
Let x = some integer between 11 and -1, say 2.

The compound inequality holds true for x = 2.
Now try a value for x that is outside the interval 11 to -1, say x = 14

One of the inequalities is false (-2 <= -3 is false), so the compound inequality is false.
RELATED QUESTIONS
I am trying to help my daughter with this bonus question. My algebra is alittle rusty. (answered by Mathtut)

Please help, my daughter is really struggling in Algebra. The problem we are having... (answered by Alan3354)

Hi! My question is this..f(x)=x^3+4x^2-5 Thanks!... (answered by Alan3354)

Please help me�.my daughter needs to solve the equation below and I have gotten very... (answered by jojo14344)

Please help me solve these three math problems. I am taking Math0099. These are math... (answered by rfer)

3^/x - 5 = 3........... 3 cuberoot over x - 5 = 3 posted my question incorrectly (answered by stanbon)

this is the problem below i need a step by step instruction as my daughter is just... (answered by vheroli)

I hope this is the right section! Um...here is my question: x-2/x + 4/5x = -1/5 ... the... (answered by Alan3354)

(2x+5)(x2-x+3) I can't help my daughter with this. The 3 things on the right are... (answered by josgarithmetic)