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Two inequalities are shown below. Which value of x makes the inequalities true? x < 18% at the same time x >LaTeX: \frac{1}{8} 1 8 Group of answer choices 0.09 1.6 LaTeX: \frac{1}{5} 1 5 LaTeX: \sqrt{0.02} 0.02 Flag this Question

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MrRoyal

Answer:

[tex]0.125 < x < 0.18[/tex]

Step-by-step explanation:

The options are not complete

Given

[tex]x < 18\%[/tex]

[tex]x > \frac{1}{8}[/tex]

Required'

Determine the range that makes x an inequality

We have:

[tex]x < 18\%[/tex]  and [tex]x > \frac{1}{8}[/tex]

Convert all to decimal

[tex]x < 0.18[/tex]    and      [tex]x > 0.125[/tex]

This can be rewritten as:

[tex]x < 0.18[/tex]    and      [tex]0.125 < x[/tex]

This can actually be merged to give

[tex]0.125 < x < 0.18[/tex]

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