Question
Solve the following inequalities and represent the solution set on a number line:
-4 ≤ 2x - 3 ≤ 5
-4 ≤ 2x - 3 ≤ 5
✓
Answer
The given inequality -4 ≤ 2x - 3 ≤ 5 is equivalent to
3 - 4 ≤ 2x ≤ 5 + 3
⇒ -1 ≤ 2x ≤ 8
$\Rightarrow-\frac{1}{2} \leq x \leq 4$
The graph of this set is -1/2 ≤ x ≤ 4.
3 - 4 ≤ 2x ≤ 5 + 3
⇒ -1 ≤ 2x ≤ 8
$\Rightarrow-\frac{1}{2} \leq x \leq 4$
The graph of this set is -1/2 ≤ x ≤ 4.
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