Question

Solve
`3 - (x)/(2) \geqslant 15`the equation

Answer 1

GIVEN:

We are given the following inequality;

`3-(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-(x)/(2)\ge15-3 \\ \\ -(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`