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Published byAlison Warren Modified over 6 years ago

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Solving Inequalities by adding or subtracting, checking the inequality & graphing it!! This is so easy you won’t even need one of these!!!

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Solving the inequality You are going to solve the inequality just like you solve two step equations!! Add or subtract a number from both sides of the inequality.

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Example 1. n – 8 < 15 + 8 + 8 add 8 to both sides + 8 + 8 add 8 to both sides n < 23 n < 23 2. -4 ≥ a + 7 -7 - 7 subtract 7 from both sides -7 - 7 subtract 7 from both sides -11 ≥ a -11 ≥ a

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“Do we have to do the check?” Let’s check the answers to our examples! 1. n – 8 < 15 n < 23 What are some possible solutions? What are some possible solutions? -Anything smaller than 23, let’s try 22! -Anything smaller than 23, let’s try 22! n – 8 < 15 n – 8 < 15 22 – 8 < 15 22 – 8 < 15 14 < 15 14 < 15 ABSOLUTELY

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“Do we have to do the check?” Let’s check the answers to our examples! 2. -4 ≥ a + 7 -11 ≥ a What are some possible solutions? What are some possible solutions? -Anything smaller than -11, let’s try -12! -Anything smaller than -11, let’s try -12! -4 ≥ a + 7 -4 ≥ a + 7 -4 ≥ -12 + 7 -4 ≥ -12 + 7 -4 ≥ -5 ABSOLUTELY

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Then we have to graph it! Let’s graph the answers to our examples! 1. n – 8 < 15 n < 23 2. -4 ≥ a + 7 -11 ≥ a

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Your turn!! Solve it, check it, graph it (in this order). 1. w + 5 < 62. x – 3 < 2 3. -1 ≤ y + 84. z + 1 ≥ 6

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