How to Graph Single Variable Inequalities?
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Steps to graphing single–variable inequalities
- Inequality is comparable to equations and employs symbols such as “less than” (<) and “greater than” (>).
- To find the answer for inequalities, you must isolate the variable. (as in equations)
- To graph the inequality, figure out its value on a number line.
- For less than or greater than you need to draw an open circle on the variable’s value.
- If it also has an equal sign, you must then use a filled circle.
- Put a line to the right or to left for greater or less than.
To understand how to graph inequalities better, below are some examples
Example one:
Make a graph for x>5.
Answer:
As the variable is higher than 5, you must find 5 and draw an open circle above it. Afterward, draw a line to the right.
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Example two:
Make a graph for x < 4.
Answer:
As the variable is lower than 4, you must find 4 and then draw an open circle above it. Afterward, draw a line to the left.
.png)
Free printable Worksheets
Exercises for Graphing Single Variable Inequalities
1) Make a graph for x > −2
2) Make a graph for x ≤ 1
3) Make a graph for x + 3 ≥ −2
4) Make a graph for x − 9 ≤ −10
5) Make a graph for x > −4
6) Make a graph for x < 5
7) Make a graph for x − 6 < −3
8) Make a graph for x − 7 < −5
9) Make a graph for x + 11 > 13
10) Make a graph for x − 6 ≤ −9
1) Make a graph for x > −2
Since the variable (
x) is
greater than
3, first, we should find
3, then draw an
open circle above it and draw a line to the
right.
.png)
2) Make a graph for x ≤ 1
As the variable is
lower than or
equal to
1, you must find
1 and then draw a
close circle above it. Afterward, draw a line to the
left.
3) Make a graph for x + 3 ≥ −2
In this example first, we must
isolate the variable. To do this
subtract 3 from both sides:
x + 3 − 3 ≥ −2 − 3 ⇒ x ≥ −5
Now, Since the variable (x) is greater than or equal to −5, we must find −5 and then draw a close circle above it. Afterward, draw a line to the right.
4) Make a graph for x − 9 ≤ −10
In this example first, we must
isolate the variable. To do this
add 9 to both sides:
x − 9 + 9 ≤ −10 + 9 ⇒ x ≤ −1
Now, Since the variable (x) is lower than or equal to −1, we must find −1 and then draw a close circle above it. Afterward, draw a line to the left.
5) Make a graph for x > −4
Since the variable (
x) is
greater than
−4, first, we should find
−4, then draw an
open circle above it and draw a line to the
right.
.png)
6) Make a graph for x < 5
As the variable is
lower than
5, you must find
5 and then draw an
open circle above it. Afterward, draw a line to the
left.
.png)
7) Make a graph for x − 6 < −3
In this example first, we must isolate the variable. To do this add 6 to both sides:
x − 6 + 6 < −3 + 6 ⇒ x < 3
Now, Since the variable (x) is lower than 3, we must find 3 and then draw an open circle above it. Afterward, draw a line to the left.
8) Make a graph for x − 7 < −5
In this example first, we must isolate the variable. To do this add 7 to both sides:
x − 7 + 7 < −5 + 7 ⇒ x < 2
Now, Since the variable (x) is lower than 2, we must find 2 and then draw an open circle above it. Afterward, draw a line to the left.
9) Make a graph for x + 11 > 13
In this example first, we must isolate the variable. To do this subtract 11 from both sides:
x + 11 − 11 > 13 − 11 ⇒ x > 2
Now, Since the variable (x) is greater than 2, we must find 2 and then draw an open circle above it. Afterward, draw a line to the right.
10) Make a graph for x − 6 ≤ −9
In this example first, we must isolate the variable. To do this add 6 to both sides:
x − 6 + 6 ≤ −9 + 6 ⇒ x ≤ −3
Now, Since the variable (x) is lower than or equal to −3, we must find −3 and then draw a close circle above it. Afterward, draw a line to the right.
Graphing Single Variable Inequalities Quiz
