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Solve for xx and graph the solution on the number line below.
minus, 1, is greater than, start fraction, x, divided by, minus, 4, end fraction
−1>
−4
x
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
To solve the inequality -1 > (x / -4), we first multiply both sides by -4 to get rid of the fraction and the negative sign:
-1 * -4 > x
4 > x
So the solution is x < 4.
On the number line, we would shade to the left of 4 as shown below:
-12 ----- ● =====================|
-10
-8
-6
-4
-2
0
2
4 *
6
8
10
12