Solve the inequality and graph the solution on the line provided.

Question

minus, 58, plus, 4, x, is less than, minus, 70
−58+4x<
−70
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
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Answer 1

To solve the inequality −58+4x < −70, we can start by subtracting 4x from both sides of the inequality:

−58+4x−4x < −70−4x
−58 < −70−4x

Next, we can add 70 to both sides of the inequality:

−58+70 < −70−4x+70
12 < -4x

Finally, we can divide both sides of the inequality by -4 (remembering to reverse the inequality symbol when dividing by a negative number):

12/(-4) > (-4x)/(-4)
-3 > x

So the solution to the inequality is x < -3.

To graph the solution on the number line, we plot an open circle at -3 and shade to the left of -3.

Number Line:

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