Homework Help: math

Posted by mimz on Sunday, November 21, 2010 at 12:35pm.

solve the given inequality and graph its solution on the number line

2-x/3less than or eqaul to (</) 3-2x/5

lxl less than or equal to 5

2 is less than or eqaul to lx-6l less than or equal to 5

math - Reiny, Sunday, November 21, 2010 at 1:55pm
1.

2 - x/3 < 3 - 2x/5
multiply by 15, the LCD
30 - 5x ≤ 45 - 6x
6x - 5x ≤ 45-30
x ≤ 15

2.

|x| ≤ 5
x ≤ 5 AND -x≤5
x≤5 AND x≥-5
in short notation: -5 ≤ x ≤ 5

3.

2 ≤ |x-6| ≤ 5

case1: 2 ≤ x-6≤ 5
8 ≤ x ≤ 11

case2:
2 ≤ -x+6≤ 5
-4 ≤ -x ≤ -1
4 ≥ x ≥ 1 or
1 ≤ x ≤ 4

so 8 ≤ x ≤ 11 OR 1 ≤ x ≤ 4

Answer this Question

Related Questions

Math - Solve the inequality. Then graph the solution on a number line. -16 is ...
Algebra - Directions say that I have to solve and graph the equation using words...
Algebra - Can you please check my answers? Solve the rational inequality and ...
Math - 1)Solve 3+2(1-x)>6 or 2x+14<=8. Graph the solution set on a...
Rational Inequities - Can you please check my answers? Solve the rational ...
Algebra II - I need some help with some problems as well as need some checked. ...
Math - How would you graph this piecewise function f(x) = x^2 if lxl < or...
alegbra II - 14. Solve the inquality -3(r-11) + 15 equal or greater than 9. 15....
algebra 1 - 1)write an inequality a. the sum of three times a number and 2 lies ...
Math inequalitites - Hi, I need some help with some inequalitites. Thanks!! Use ...

For Further Reading

First Name:
School Subject:
Answer: