Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Solving Inequalities Using Multiplication or Division
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Exercise 32 Page 72

Start by solving the inequality.

Example Solution: x≤ 24

Practice makes perfect
Let's begin by solving the given inequality.
x/4≤ 5
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Solve for x
x/4 * 4 ≤ 5* 4

a/c* b =a * b/c

x*4/4≤5*4
x* 1≤5 * 4
x≤ 20

We are told that this solution set contains x=p. This means that p is any number less than or equal to 20. p≤ 20 To create another inequality that also contains the solution x=p, we can start from the solution set we already found and add a positive number on the right-hand side of the inequality. For example, we can add 4. x≤20 + 4 ⇒ x≤24 We know that p is any number less than or equal to 20. Therefore, p also satisfies our new inequality.