Question

solve the inequality and graph the solution.
5 - f > 3
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.
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Explanation:

Step1: Subtract 5 from both sides

$$5 - f-5>3 - 5$$
$$-f>-2$$

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

When we multiply or divide an inequality by a negative number, the direction of the inequality sign changes. So, multiplying $-f > - 2$ by $-1$ gives $f < 2$.

Answer:

The solution of the inequality \(5 - f>3\) is \(f < 2\). On the number - line, we plot an open circle at \(f = 2\) (because \(2\) is not included in the solution set) and draw an arrow to the left (towards the smaller numbers).