1. Lesson #14- Solving Inequalities

2. Intervals b a [a,b]

3. Inequalities are the _______ of equalities. 5x = 2x + 9 Equality opposite Inequality 2y = 35 +7y a 2 = b 2 + c 2 3y < 10 8y – 5 > 27 10a + 5b ≥ 27 For inequalities we use symbols.

4. eg. 1x + 30 > 40 x > 10 -30 -30 This says that x can be any value greater than 10. ]10,+∞[ +∞ 10 # Line IntervalSet Builder

5. eg. 25x + 12 ≤ 3x+ 20 5x ≤ 3x +8 -12 -12 -3x -3x 2x ≤ 8 2 x ≤ 4 ] -∞,4] This says, x is any value less than or equal to 4. 4 -∞ # Line IntervalSet Builder

6. eg. 3-5x ≤ 2x- 21 -2x -2x -7x ≤ -21 -7 x ≥ 3 [ 3, ∞[ +∞ 3 Math Gods “When you divide by a negative switch the direction of the inequality symbol.” # Line IntervalSet Builder

7. eg. 4 2(x-1) - 3(x+1) ≤ 0 2x ≤ 0 +5 +5 -x ≤ 5 [-5, +∞[ -2 - 3x - 3 ≤ 0 -x -5 x ≥ -5 +∞ -5 # Line IntervalSet Builder

8. Homework pg. 81-82 #3 pg. 84 #6,7a-d & 8