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  • 21-09-2021
  • Mathematics
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4 What is the solution to the inequality -3x-42>3 ?

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ᴜᴋɪʏᴏ ᴜᴋɪʏᴏ
  • 21-09-2021

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

  • What is the solution to the inequality -3x-42>3 ?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]- 3 x - 42 \gt 3[/tex]

Add 42 to both sides.

[tex]-3x>3+42 [/tex]

Add 3 and 42 to get 45.

[tex]-3x>45 [/tex]

Divide both sides by -3. As -3 is <0, the inequality direction has changed.

[tex]x<\frac{45}{-3} \\ [/tex]

Divide 45 by -3 to get -15.

[tex] \huge \boxed{ \boxed{ \bf \: x<-15 }}[/tex]

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