Question

(a) $\frac{1}{2}-4x < 3$

Explanation:

Step1: Isolate the term with x

Subtract $\frac{1}{2}$ from both sides.
$\frac{1}{2}-4x-\frac{1}{2}<3 - \frac{1}{2}$
$-4x<\frac{6 - 1}{2}$
$-4x<\frac{5}{2}$

Step2: Solve for x

Divide both sides by - 4. Remember to reverse the inequality sign when dividing by a negative number.
$x>\frac{5}{2}\div(-4)$
$x>-\frac{5}{8}$

Answer:

$x>-\frac{5}{8}$