Question

Find the value of $x$ which satisfies the inequality: $4<3x+2<5$.

• A. Between $0.666$ and $1$
• B. $1.33$
• C. Between $2$ and $3.33$
• D. Between $0$ and $0.66$

Answer 1

Answer: (A)

Between $0.666$ and $1$

Given inequality is $4<3x+2<5$

$\therefore 4-2<3x<5-2$

$\therefore 2<3x<3$

Dividing throughout by $3$, we get $\frac{2}{3}<x<\frac{3}{3}$

i.e. $0.666<x<1$