Solve the inequality and graph the solution on the line provided.
minus, 6, x, minus, 3, is greater than or equal to, minus, 9
−6x−3≥−9
To solve the inequality −6x−3≥−9, we first add 3 to both sides to isolate the x term:
−6x ≥ −6
Next, we divide by -6 to solve for x:
x ≤ 1
Therefore, the solution to the inequality is x ≤ 1.
To graph the solution on the number line, we plot a closed circle at 1, and shade to the left to represent all values less than or equal to 1.
0----(=)---1--->
Shade to the left
This represents the solution to the inequality x ≤ 1.