Question

Solve the linear Inequality. Express the solution using interval notation and graph the solution set.

$3x+11<5$

Short answer

The solution set of the given inequality is $x<-2$that is $x\in (-\infty ,-2)$.

Step-by-step solution

Step-1. Determining the solution to Inequality.

$3x+11<5$

$3x+11-11<5-11$ (Subtract)

$3x<-6$ (Simplify)

$\frac{3x}{3}<-\frac{6}{3}$ (Multiply by)

$x<-2$ (Simplify)

Step-2. Expressing the solution set in Interval Notation.

The solution set consists of all numbers less than –2 . In other words, the solution of the inequality is the interval$(-\infty ,-2)$

Step-3. Graphing the solution set.

$$\begin{gathered} x<-2 \\ x\in (-\infty ,-2) \end{gathered}$$