SOLUTION: Solve the compound inequalities. Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the soulution sets mean, and the

Algebra ->  Inequalities -> SOLUTION: Solve the compound inequalities. Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the soulution sets mean, and the      Log On


   

Question 905791: Solve the compound inequalities. Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the soulution sets mean, and then display a simple line graph for each solution set.
"and" compound inequality is: -10 < -2 + 8x < 22
"or" compound inequality is: 4x + 7 < 11 or 1 – x ≤ -2
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
-10+%3C+-2+%2B+8x+%3C+22
-8%3C8x%3C24
-1%3Cx%3C3
outline -1 and +3, do not fill in those points, and highlight or fill all points betweeen -1 and +3.

4x+%2B+7+%3C+11 or 1+%96+x+%3C=+-2
;
4x%3C11-7
4x%3C4
x%3C1
OR
1-x%3C=-2
x-1%3E=2
x%3E=3
-
x%3C1 OR x%3E=3.
This is the union of the two intervals.
x is less than 1 exclusive
OR
x is greater than or equal to 3 (meaning inclusive).