Is it an open circle? What number is it on the number line? Is it extended to the left or the right?

Question

Solve for xx and graph the solution on the number line below.
minus, 5, x, is less than, minus, 35
−5x<
−35
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12

Answer 1

To solve for x, we need to divide both sides of the inequality by -5. Remember that when you multiply or divide by a negative number when solving an inequality, the direction of the inequality sign flips.

So, when we divide both sides by -5, we get:

x > 7

This means that x is greater than 7.

Now we can plot this on the number line. Since x is greater than 7, it is an open circle at 7, extending to the right. We can plot it as follows:

Number Line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
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