SOLUTION: -1 less than or equal to 3 -2x less than 11 Solve each compound inequality. Write the solution set in interval notation and graph it.

Algebra.Com
Question 54135: -1 less than or equal to 3 -2x less than 11
Solve each compound inequality. Write the solution set in interval notation and graph it.

Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
The goal is to get the x all by itself in the middle, whatever you do to the middle to get x by itself you have to do to each end.



When you multiply or divide by a negative sign, flip the inequality signs.
Write in smaller to larger order. Keep an eye on the inequality signs. They still need to point to the same numbers.

This means that x is greater than (but not equal to)-4 and less than or equal to 2. Equal gets a bracket and not equal gets a parenthesis:
Interval notation: (-4,2]
Notice the similarity between the interval notation and the number line graph:
Graph:
<------(============]--->
-6,-5,-4,-3,-2,-1,0,1,2,3,4
Happy Caclulating!!!

RELATED QUESTIONS

Write the single compound inequality as two separate inequalities using the "and"... (answered by Fombitz)
Solve the compound inequality below. Write the solution set using interval notation and... (answered by Fombitz)
1. I need help in solving the following compound inequality. I also need to write... (answered by stanbon,Edwin McCravy)
Solve the inequality. Write the solution set in interval notation. 2/3y-1/2>_ y+ 11/3 (answered by lwsshak3)
" -2 IS LESS THAN OR EQUAL TO 2x + 1 < 6 " How do I solve this compound inequality... (answered by stanbon)
Solve the compound inquality write its solution set in interval notation, and graph the... (answered by ikleyn,MathTherapy)
How would I solve the compound inequality and write the solution set in interval... (answered by Abbey)
-35/9 less than -5/5n less than 35/6 Solve compound inequality, write its solution set (answered by ikleyn)
Please help me solve and write interval notation for the solution set -4 less than or... (answered by jim_thompson5910)