Question

solve$3 - \frac{x}{2} \geqslant 15$the equation

Answer 1

GIVEN:

We are given the following inequality;

$3-\frac{x}{2}\ge15$

Required;

To solve the inequality for x.

Step-by-step solution;

We begin by collecting like terms. Subtract 3 from both sides;

$\begin{gathered} 3-3-\frac{x}{2}\ge15-3 \\ \\ -\frac{x}{2}\ge12 \end{gathered}$

Now we cross multiply;

$-x\ge24$

We now multiply both sides of the inequality by -1.

Note that when an inequality is multiplied or divided by a negative value, then the inequality sign flips over.

Therefore;

$\begin{gathered} -x\ge24 \\ \\ -x(-1)\ge24(-1) \\ \\ x\leq-24 \end{gathered}$

ANSWER:

$x\leq-24$