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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

Chapter Review

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Exercise 36 Page 174

For inequalities on a number line, what does it mean when a point is open or closed?

Practice makes perfect

We want to find the graph of the given inequality. s < 1 34 First, we can rewrite the mixed number as a fraction.

s < 1 34

▼

a bc=a* c+b/c

a bc=a* c+b/c

s < 1* 4+3/4

Multiply

s < 4+3/4

Add terms

s < 7/4

To graph an inequality on a number line, we need to make note of two things. The first thing is the direction of the inequality and the second thing is whether it is strict. Let's consider the given inequality. s < 7/4 Observing the given inequality, we see that 74 is greater than all values of s. This means that the solution set lies to the left of 74 on a number line. Furthermore, the inequality symbol indicates that s= 74 is not a solution, which we will mark with an open circle on the number line at 74.

Subchapter links

1 Solving Equations Using Addition or Subtraction p.173

2 Solving Equations Using Multiplication or Division p.173

3 Solving Two-Step Equations p.174

4 Writing and Graphing Inequalities p.174

5 Solving Inequalities Using Addition or Subtraction p.174-175

6 Solving Inequalities Using Multiplication or Division p.175

7 Solving Two-Step Inequalities p.175