Over Lesson 5–3 A.A B.B C.C D.D 5-Minute Check 1 Solve and Graph x – 4 > -1 Solve and Graph y + 3 ≤ 6

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Then/Now You have already used the Properties of Equality to solve equations. (Lessons 4–3 and 4–4) Solve inequalities with Addition and Subtraction. Solve inequalities with Multiplication and Division

To solve inequalities with Addition and Subtraction, we just pretend it is equal to start. We solve this and use the “equal” number as the critical point on the graph. Then we test values to see which way to shade. Lastly, we make sure we convert it back to an inequality by looking at the graph Today we will use those same skills! Last week we covered…

Example 1 Solve an Inequality Solve 3x > 12. 3x >12 Write the inequality. 3x = 12 Pretend it is equal 3 3 Divide both sides by 3 x = 4 This is our critical point (graph it) 0 4 Answer: The solution is x > 4. Test values to the left and right of 4. Plug in 0 into the original inequality. Does it work? Try 5 into the original inequality. Does it work? Now shade!

Example 1 Solve an Inequality Solve -2x ≤ x ≤-14Write the inequality. -2x = -14Pretend it is equal -2 -2Divide both sides by -2 x = 7This is our critical point (graph it) 0 7 Answer: The solution is x ≥ 7. Test values to the left and right of 7. Plug in 0 into the original inequality. Does it work? Try 8 into the original inequality. Does it work? Now shade!

Example 1 Solve an Inequality Solve Write the inequality. Pretend it is equal Multiply both sides by 4. a = -8This is our critical point (graph it) -8 0 Test Values; try -12 to the left and 0 to the right. Does it work? Answer: The solution is a < -8.

Example 1 Solve an Inequality Solve Write the inequality. Pretend it is equal Multiply both sides by -3. C = -12This is our critical point (graph it) Test values; try -15 to the left and 0 to the right. Do they work? Answer: The solution is c ≤ -12.

Let’s do some practice at our seats with this worksheet I am about to handout!