Solve for xx and graph the solution on the number line below.

Question

minus, 6, is less than or equal to, x, minus, 11
−6≤
x−11
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

Answer 1

To solve the inequality -6 ≤ x-11, we can add 11 to both sides to isolate x:

-6 + 11 ≤ x - 11 + 11
5 ≤ x

So the solution is x ≥ 5.

On the number line, we can plot this solution by shading the region to the right of 5, including 5 itself.