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Solving Inequalities (3-2)
Adding/Subtracting
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x ˃ 3 *So ALL numbers greater that 3 will satisfy the inequality
Ex 1) What are the solutions of x – 15 ˃ -12? *Solve for x using inverse operations x – 15 ˃ -12 *Add 15 to both sides x ˃ 3 *So ALL numbers greater that 3 will satisfy the inequality Now graph the solution on a number line Check your solution by choosing a number from the graph 5 – 15 ˃ -12 -10 ˃ -12 true
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t + 6 ≤ 4 *Solve for t by using inverse operations
t ≤ -2 Graph the solution Check your solution by choosing a number from the graph. Can we use -2 for the check? ≤ 4 4 ≤ 4 true You try: p – 4 ˂ 1 8 ≥ d – 2 y + 5 ˂ c ˃ 7
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Writing and Solving an Inequality
A hard drive has 120 GB You have used 85 GB What are the possible sizes of some home video you want to save? 1st: Define your variable v is the size of the home video 2nd: Set up the inequality v + 85 ≤ 120 *Solve for v v ≤ 35 So the home video can be any size less than or equal to 35GB
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You Try: Your goal is to walk at least 10,000 steps per day You have walked 5274 steps Write and solve an inequality to find the possible # of steps you need to take to reach your goal. You earn $250 per month You are in a club that costs $20 per month You save at least $100 per month Write and solve an inequality to find the possible amounts you have left to spend each month.
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