Question

Graph each inequality on the number line and write in interval notation:

$$\begin{gathered} a)x>2 \\ b)x\le -1.5 \\ c)x\ge 3/4 \end{gathered}$$

Short answer

The interval notations are

$$\begin{gathered} a)\left(2,\infty \right) \\ b)(-\infty ,-1.5] \\ c)[\frac{3}{4},\infty ) \end{gathered}$$

Step-by-step solution

Given information

We need to graph the inequalities and write their interval notation:

$$\begin{gathered} a)x>2 \\ b)x\le -1.5 \\ c)x\ge 3/4 \end{gathered}$$

Plotting the graphs

We plot the required graphs.

a)

b)