3.06 Review: Graphing inequalities
Explain when to use a filled circle when graphing inequalities.
Explain when to use an unfilled circle when graphing inequalities.
Determine whether an unfilled circle or a filled circle will be used to graph the following inequalities:
x \leq -1
a \gt -2
k \lt 12
b \geq 14
m \leq 5
c \lt -3
n \geq 36
d \gt 24
State the inequality for x that is represented on the following number lines:
State the inequality for x that is represented on the following number lines:
Graph the following inequalities on a number line:
x \geq 0
x \lt 0
x \geq 1
x \geq - 3
x \leq 2
x \leq -5
x \gt 1
x \lt 2
Graph the following inequalities on a number line:
x \geq 0.5
x \geq 0.4
x \geq 3.5
x \lt 0.4
x \gt 6.5
x \leq 2.6
x \lt 1.75
x \gt -1.8
Graph the following inequalities on a number line:
x \geq \dfrac{1}{2}
x \leq \dfrac{2}{3}
x \leq \dfrac{5}{3}
x \gt \dfrac{7}{4}
x \leq \dfrac{6}{5}
x \gt -\dfrac{2}{3}
x \gt \dfrac{3}{8}
x \lt \dfrac{9}{8}
Carter graphed the inequality x \geq 8 but made a mistake in his work:
Describe Carter's mistake.
Eunice graphed the inequality x \lt -4 but made a mistake in her work:
Describe Eunice's mistake.