Solve: 3 x+5< x-7, when x is a real number - Vidyadip

MCQ

Solve: $3 x+5< x-7$, when $x$ is a real number

A
$x>-12$
B
$x<-12$
C
$x<-6$
D
$x>-6$

✓

Answer

(c) $x <-6$
Explanation: $3 x+5<x-7$
$
\begin{array}{l}
\Rightarrow 3 x+5-x<x-7-x \\
\Rightarrow 2 x+5<-7 \\
\Rightarrow 2 x+5-5<-7-5 \\
\Rightarrow 2 x<-12 \\
\Rightarrow \frac{2 x}{2}<-\frac{12}{2} \\
\Rightarrow x<-6
\end{array}
$

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