DreyT600067 DreyT600067
  • 03-11-2022
  • Mathematics
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3. The difference of two-thirds of a number x and6 is at least -24. Which inequality represents allpossible values for x?

3 The difference of twothirds of a number x and6 is at least 24 Which inequality represents allpossible values for x class=

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AmraC383643 AmraC383643
  • 03-11-2022

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]

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