How do you graph the inequality <mstyle displaystyle="true">

Ryker Lester

Ryker Lester

Answered question

2022-06-03

How do you graph the inequality x - 1 > - 10 on a number line?

Answer & Explanation

Karson Stokes

Karson Stokes

Beginner2022-06-04Added 4 answers

Step 1
With an open dot at the -9 position and extending to the right.
In inequalities you are allowed to add or subtract the same number at both sides.
You are also allowed to multiply both sides with the same number, BUT : if the number you multiply by is negative, the inequality reverses: > becomes < and vice versa.
In this case we only have to add 1 to both sides:
x - 1 > - 10 x > - 9
The > means the graph extends to the right (that's where the > is pointing to!)
Since the value of x = - 9 is not included, you draw an "open" dot at the -9 position
In some methods an open half circle is used.
(If it were x - 9 you'd draw a closed and filled dot)

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