Lesson #14- Solving Inequalities. Intervals b a [a,b]

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Presentation transcript:

Lesson #14- Solving Inequalities

Intervals b a [a,b]

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.

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

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

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

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

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