None of the number lines represents the solution of the given inequality as the solution of the inequality is all real numbers less than -7/22 and it does not include the number -7/22.
<h3>What is a number line?</h3>
The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals.
A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). The numbers to the left of zero are all negative whereas the numbers on the right of zero are all positive.
The given inequality is
1/7m < -1/22
Multiply both sides by 7
7 × 1/7 m< -1/22 × 7
m < -7/22
So, the solution to the inequality is all real numbers less than -7/22.
The graph (A) and (B) cannot be the solution to the inequality as they are going to the right.
Graph (C) also cannot be the solution, although it is going left, the point (-14./11) is closed and it does not belong to the solution of the inequality.
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