Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
4. Writing and Graphing Inequalities
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Exercise 27 Page 150

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. 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.

1 14 > z Observing the given inequality, we see that all values of z are less than 1 14. This means that the solution set lies to the left of 1 14 on a number line. Furthermore, the inequality symbol indicates that z = 1 14 is not a solution, which we will mark with an open circle on the number line at 1 14.