Question
Solve the inequation 3x -11 < 3 where x ∈ {1, 2, 3,……, 10}. Also represent its solution on a number line
✓
Answer
$
\begin{aligned}
& 3 x-11<3 \\
& \Rightarrow 3 x<3+11 \\
& \Rightarrow 3 x<14 x<\frac{14}{3}
\end{aligned}
$
But $x \in 6\{1,2,3, \ldots . . ., 10\}$
Solution set is $(1,2,3,4\}$
Ans. Solution set on number line
\begin{aligned}
& 3 x-11<3 \\
& \Rightarrow 3 x<3+11 \\
& \Rightarrow 3 x<14 x<\frac{14}{3}
\end{aligned}
$
But $x \in 6\{1,2,3, \ldots . . ., 10\}$
Solution set is $(1,2,3,4\}$
Ans. Solution set on number line
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