Question

Solve the inequality and graph the solution on the line provided.
minus, 8, plus, 4, x, is less than, minus, 4
−8+4x<
−4
Answer
Attempt 1 out of 3


Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
Submit Answer

Answer 1

To solve the inequality -8+4x < -4, we will first isolate the variable x by performing algebraic operations:

-8 + 4x < -4

First, we will add 8 to both sides of the inequality:

-8 + 4x + 8 < -4 + 8
4x < 4

Next, we will divide both sides of the inequality by 4:

4x/4 < 4/4
x < 1

Therefore, the solution to the inequality is x < 1.

On the number line, we will represent this solution by shading the region to the left of 1 and indicating that the endpoint 1 is not part of the solution.

Number Line:
-12 ----- -10 ----- -8 ----- -6 ----- -4 ----- -2 ----- 0 ----- 2 ----- 4 ----- 6 ----- 8 ----- 10 ----- 12
|<------ 0 <-------------- 1 <--------------|
x < 1