[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]
