Question
Given A = {x : x ∈ I, – 4 ≤ x ≤ 4}, solve 2x – 3 < 3 where x has the domain A Graph the solution set on the number line.
✓
Answer
$
\begin{aligned}
& 2 x-3<3 \\
& \Rightarrow 2 x<3+3 \\
& \Rightarrow 2 x<6 \\
& \Rightarrow x<3
\end{aligned}
$
But $x$ has the domain $A=\{x: x \in I-4 \leq x \leq 4\}$
Solution set $=\{-4,-3,-2,-1,0,1,2\}$
Solution set on Number line:
\begin{aligned}
& 2 x-3<3 \\
& \Rightarrow 2 x<3+3 \\
& \Rightarrow 2 x<6 \\
& \Rightarrow x<3
\end{aligned}
$
But $x$ has the domain $A=\{x: x \in I-4 \leq x \leq 4\}$
Solution set $=\{-4,-3,-2,-1,0,1,2\}$
Solution set on Number line:
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