Bellringer (7 minutes) What should the graph look like for the following inequality? x + 12 ≤ – 3 Solve the inequality. (You do not have to simplify.)

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Presentation transcript:

Bellringer (7 minutes) What should the graph look like for the following inequality? x + 12 ≤ – 3 Solve the inequality. (You do not have to simplify.) 1 3 x – 8 > 5 – 2x

Algebra 1 August 30 & 31, 2018

announcements Monday: No school (Labor Day) You will have a quiz on Thursday, September 6th

Last class We talked about how solving inequalities was very similar to solving equations How the inequality symbol can be flipped by multiplying or dividing by a negative number Did anyone have any questions on that? So, now let’s see what happens when you combine inequalities…

Compound inequalities These are literally two different inequalities solved and/or graphed on the same line With most compound inequalities, there’s good news and bad news For most of these inequalities, you will be doing the exact same steps regardless of which side you’re solving first (good news) The graphs are done on the same line, so you will have to figure out if there is overlap or not (bad news)

Compound inequalities example Solve the following linear inequality: 1 ≤ x + 5 < 7

Compound inequalities example Solve the following linear inequality: 5x – 3 < 7 or x + 2 > 13 This one has been pre-split… So just solve each side normally.

Compound inequalities example Solve the following linear inequality: 1 ≤ 2 7 x + 5 < 7

Compound inequalities Solve the following linear inequality: – 3 < 1 3 x + 2 < 5

Compound inequalities Solve the following linear inequality: 2x – 3 < 7 or 4x – 11 > 13

Literal equations These are equations where the answer is in terms of another variable or letter Your answer will always have a variable!

Literal equation examples Solve for x: 3x + 5y = z Solve for r: A = πr2