3. The difference of two-thirds of a number x and6 is at least -24. Which inequality represents allpossible values for x?
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We will solve as follows:
The expression represented in the text is:
[tex]\frac{2}{3}x-6\ge-24[/tex]Now, we solve for x:
[tex]\Rightarrow\frac{2}{3}x\ge-18\Rightarrow2x\ge-54[/tex][tex]\Rightarrow x\ge-27[/tex]So, the solution is x >= 27. [Option D]