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

x, minus, 11, is less than, minus, 3
x−11<
−3
Answer
Attempt 1 out of 3


Inequality Notation:
Number Line:
<------------------------------------------------------->
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

1 answer

To solve the inequality x - 11 < -3, we need to isolate x.

First, we can add 11 to both sides of the inequality:
x - 11 + 11 < -3 + 11
x < 8

So the solution to the inequality is x < 8.

Graphing this solution on the number line, we place an open circle at the point 8 and draw a ray to the left to indicate that x is less than 8.

<------------------------------------------------------->
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

The solution is represented by the section of the number line that is to the left of the open circle at 8.