Question

Consider the inequality 15
x −
8
110≤−
9
310
.

Part A

Solve the inequality 15
x −
8
110≤−
9
310
.

Complete the sentence to describe how to graph the solution on a number line.

The solution can be graphed by plotting
Choose...
at the number
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and shading the number line to the
Choose...
of the circle.


Part B

Select all the values of x that are solutions for this inequality.
–8
–7
–6
0
6
8

Answer 1

To solve the inequality 15x - 8/110 ≤ -9/310, we first need to simplify it.

15x - 8/110 ≤ -9/310
15x ≤ -9/310 + 8/110
15x ≤ (-9*11 + 8*31) / (31 * 11)
15x ≤ (-99 + 248) / 341
15x ≤ 149 / 341
x ≤ 149 / (15 * 341)
x ≤ 149 / 5115
x ≤ 149 / 5115

So, the inequality is x ≤ 149 / 5115.

To graph the solution on a number line, plot a closed circle at the number 149 / 5115 and shade the number line to the left of the circle.

From the given values, the solutions for x are -8, -7, -6.