Question

Solve the inequality $3-4x>5$. Graph the solution set.

Short answer

The solution set of $3-4x>5$is $(-\infty ,-\frac{1}{2})$and its graph is

Step-by-step solution

Step 1. Using mathematical operations to solve the inequality 3-4x>5. 

Add 4x to both sides.

$3>5+4x$

Subtract 5 from both sides.

$-2>4x$

Divide the inequality by 2.

$$\begin{gathered} -\frac{1}{2}>x \\ x<-\frac{1}{2} \end{gathered}$$

So the solution set of given inequality is$(-\infty ,-\frac{1}{2})$.

Step 2. The graph of solution set of inequality 3-4x>5 is as follows.