Graph the following inequality. then click to show the correct graph. x < -1

The graph in the attached figure

Step-by-step explanation:

we have

x < -1

The solution is the interval ----> (-∞,-1)

All real numbers less than -1

On a number line the solution is the shaded area at the left of x=-1 (open circle)

using a graphing tool

see the attached figure

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5