Solve for xx and graph the solution on the number line below.
minus, 4, is greater than or equal to, minus, 2, x
−4≥
−2x
To solve for x, we can divide both sides of the inequality by -2, remembering that when dividing or multiplying by a negative number, the direction of the inequality sign must be reversed.
(-4) / (-2) ≥ (-2x) / (-2)
2 ≥ x
So, the solution is x ≤ 2.
Graphing this on a number line, we can start by plotting a closed circle on the number 2, since x is greater than or equal to 2. Then, draw a line to the left to indicate all the numbers less than or equal to 2.
Here is the graph on the number line:
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