Question

solve the inequality and graph the solution.
7 - n < 5
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Subtract 7 from both sides

$$7 - n-7<5 - 7$$
$$-n<-2$$

Step2: Multiply both sides by - 1 and reverse the inequality sign

When we multiply or divide an inequality by a negative number, the inequality sign flips. So, multiplying $-n < - 2$ by $-1$ gives:
$$n>2$$

To graph $n > 2$:

• Plot an open circle at $n = 2$ (because $n$ is not equal to 2)
• Draw a ray to the right of 2 (since $n$ is greater than 2)

Answer:

The solution of the inequality is $n>2$. On the number - line, we have an open circle at 2 and a ray extending to the right.