Question

How do you graph the inequality on a number line $y > -1$?

Answer 1

Hint:
 We start solving the problem by recalling the definition of a number line as a graduated straight line that serves as a reference to the real numbers such that every point on the number line corresponds to a real number, and every real number is represented as a point. We then find what were the real numbers that were included in the given inequality $y > -1$. We then draw a line covering all those values by placing a hollow dot at –1, as it is not included in the real values of inequality.

Complete step by step answer:
According to the problem, we are asked to graph the inequality $y > -1$ on a number line.
Let us first recall the definition of a number line.
We know that the number line is a graduated straight line that serves as a reference to the real numbers. Every point on the number line corresponds to a real number, and every real number is represented as a point.
Here we are given the in equality $y > -1$. We can see that the variables y represents all the real numbers that were greater than –1.
We know that in order to represent these real numbers, we need to place a void (hollow dot) at the –1 as that cannot be included in the required plot. We then draw the line that covers all the real numbers greater than –1 as shown below:

Note:
We should not confuse plotting on a number line with plotting on the xy-axes which is the most common mistake done by students. We should keep in mind that –1 is the largest negative integer present in the number line which is a very important point while solving this problem. Whenever we get this type of problem, we first find all the real values that were included in the given equality. Similarly, we can expect problems to draw the inequality $y < -1$ on the number line.