Worksheet
1
State the inequality for x that is represented on the following number lines:
a
b
c
d
e
f
g
h
2
Plot the following inequalities on a number line:
a
x \lt 0
b
x \geq 6
c
x \leq 1
d
x \geq 0.6
e
x \geq 0
f
x \leq 2
g
x > 1
h
x < \dfrac{3}{4}
3
For each of the following inequalities:
i
Solve the inequality.
ii
Plot the inequality on a number line.
a
7 x \leq 63
b
x - 1 \lt 4
c
1 + x \leq 1
d
2 x - 8 \lt 4
e
10 + 8 x \lt 26
f
2 \left(x + 1\right) \gt 4
g
4 \left( 2 x + 4\right) \gt 40
h
3 \left( 4 x + 8\right) \leq 24
i
\dfrac{x}{5} \gt \dfrac{8}{5}
j
\dfrac{x}{6} \geq 2
k
\dfrac{x}{3} - 1 \leq 5
l
\dfrac{x - 6}{3} \leq 2
4
Explain how to plot the inequality 2 \geq \dfrac{x}{4} on a number line.
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