Q. 1 - Precalculus Enhanced with Graphing Utilities

Question

 Solve the inequality $3 x+4<8-x$

Step-by-Step Solution

Answer

Solution of the inequality is $\{x\mid x<1\}$

Given information

$3 x+4<8-x$

Step 2. Rewriting the expression

Now we add x and subtract 4 from both sides of the inequality .We get

$$\begin{gathered} 4x+4-4<8-4 \\ 4x<4 \end{gathered}$$

Step 3. Calculations

Now divide both sides by 4

$$\begin{gathered} \frac{4x}{4}<\frac{4}{4} \\ x<1 \end{gathered}$$

So the solution is 

$\{x\mid x<1\}$