which number line shows the solution to $\frac{1}{4}x + 1 < 5$?

Explanation:

Step1: Isolate the term with x

Subtract 1 from both sides of the inequality $\frac{1}{4}x + 1<5$. $\frac{1}{4}x+1 - 1<5 - 1$ $\frac{1}{4}x<4$

Step2: Solve for x

Multiply both sides of the inequality by 4. $4\times\frac{1}{4}x<4\times4$ $x < 16$

The solution on the number - line is all values to the left of 16, with an open - circle at 16 (since 16 is not included in the solution set).

Answer:

The number line with the arrow pointing to the left starting from an open - circle at 16.