One-Variable Inequalities
Overview
We can use what we’ve learned about variables to solve inequalities involving unknown numbers. For example…
Create a number line that represents t ≥ 5
< | ≤ | = | ≥ | > |
---|---|---|---|---|
less than | less than or equal to | equal to | greater than or equal to | greater than |
We can see that the equation reads t is greater than or equal to 5. So, we need to create a number line starting at 5.
Since t is greater than or equal to 5, we start at 5 and include every number after.
If the equation were t > 5, which reads t is greater than 5, we would not color in the circle above 5.
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Create a number line for expression below
x > 7
Create a number line for expression below
y ≤ 4
Create a number line for expression below
w ≤ 6 + 5
Create a number line for expression below
18 ≥ p
Create a number line for expression below
– 4 < r