Solve for xx and graph the solution on the number line below.
minus, 2, is greater than or equal to, start fraction, x, divided by, minus, 4, end fraction
−2≥
−4
x
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Touch and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
To solve the inequality, we need to isolate x. We can do this by multiplying both sides of the inequality by -4 to cancel out the denominator:
-2 * -4 ≥ x
8 ≥ x
So the solution is x ≤ 8.
On the number line, we plot all the values of x that are less than or equal to 8. This includes 8 and all numbers to the left of 8. So, we shade the number line to the left of 8. The point 8 is also included, so we can put a closed circle on 8. The resulting graph would look like this:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
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