Core Connections: Course 2
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Core Connections: Course 2 View details
1. Section 6.1
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Exercise 29 Page 331

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. x>3 Observing the given inequality, we see that all values of x are greater than 3. This means that the solution set lies to the right of 3 on a number line. Furthermore, the inequality symbol indicates that x=3 is not a solution, which we will mark with an open circle on the number line at 3.

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. x≤ 5 Observing the given inequality, we see that all values of x are less than or equal to 5. This means that the solution set lies to the left of 5 on a number line. Furthermore, the inequality symbol indicates that x=5 is a solution, which we will mark with an open circle on the number line at 5.

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. x≥ - 4 Observing the given inequality, we see that all values of x are greater than or equal to - 4. This means that the solution set lies to the right of - 4 on a number line. Furthermore, the inequality symbol indicates that x=- 4 is a solution, which we will mark with an open circle on the number line at - 4.