**Unformatted text preview: **Simplify 9x/9 ≤ 9/9 Divide both sides by 9 x ≤ 1 Answer x ≥ -2 and x ≤ 1 Combine the intervals The compounded inequalities are as follows:-2 ≤ x ≤ 1 written algebraically. Interval Notation of the union or intersection [-2, 1] the blue line represents the range of the compounded inequalities and the dots on the line graph are the start and stop points. Problem #2 12 – x > 15 or 4x – 13 > 7 12-x-12>15-12 Subtract 12 from both sides-x>3 Simplify (-x)(-1)<(3)(-1) Multiply both sides by -1to reverse the inequality X<-3 Simplify 4x-13>7 Second part 4x-13+13>7+13 Add 13 to both sides 4x>20 Simplify 4x÷4>20÷4 Divide both side by 4 x>5 Simplify x<-3 or x>5 Combine interval (-∞, -3] ∪ [5, ∞) Interval notation, note that these line do not intersect. Number Line x<-3 or x>5...

View
Full Document

- Spring '13
- c