Math Snap

STEP 1

Assumptions1. We are solving the inequality $\frac{1}{4} x +1 <5$
. The variable x can be any real number

STEP 2

First, we need to isolate the term with the variable x on one side of the inequality. We can do this by subtracting1 from both sides of the inequality.
$$\frac{1}{4} x +1 -1 <5 -1$$

STEP 3

implify the inequality.
$$\frac{1}{} x <$$

STEP 4

Next, we need to solve for x. We can do this by multiplying both sides of the inequality by4.
$$4 \times \frac{1}{4} x <4 \times4$$

implify the inequality.
$$x <16$$This is the solution to the inequality. On the number line, all numbers less than16 are solutions to the inequality. Therefore, the number line that shows the solution to the inequality $\frac{1}{4} x +1 <5$ is the one that has all numbers less than16 shaded or marked.