KolbiJ259071 KolbiJ259071
  • 27-10-2022
  • Mathematics
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15. Tarik's solution for the inequality 10 - 4x > 2 is shown below. Whichstatement about Tarik's solution is correct?

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NatayaO729065 NatayaO729065
  • 27-10-2022

The given inequality is

[tex]10-4x>2[/tex]

First, we subtract 10 from each side.

[tex]\begin{gathered} 10-10-4x>2-10 \\ -4x>-8 \end{gathered}[/tex]

Then, we divide the inequality by -4.

[tex]\begin{gathered} \frac{-4x}{-4}<\frac{-8}{-4} \\ x<2 \end{gathered}[/tex]

Hence, the solution is all real numbers less than 2.

Therefore, Tarik's solution is not correct because he did not reverse the inequality.

The first option is correct.
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