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 first need to isolate x by dividing both sides by -2. Remember that when dividing or multiplying by a negative number, we need to flip the inequality sign.
-4 ≥ -2x
-4/-2 ≥ x
2 ≥ x
So the solution for x is x ≤ 2.
Now, let's graph this solution on the number line:
-----------o-------------|----------------
2
The closed circle at 2 represents that x can be equal to 2 as well. The line continues to the left to show all values of x that are less than or equal to 2.