Question

solve the inequality and graph the solution.
-3 - f ≥ 1
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: Isolate the variable term

Add \(3\) to both sides of the inequality \(-3 - f\geq1\).
\(-3 - f+3\geq1 + 3\)
\(-f\geq4\)

Step2: Solve for \(f\)

Multiply both sides by \(- 1\). Remember to reverse the inequality sign when multiplying by a negative number.
\((-1)\times(-f)\leq(-1)\times4\)
\(f\leq - 4\)

Answer:

The solution of the inequality is \(f\leq - 4\). On the number - line, we plot a closed circle at \(-4\) (because the inequality includes equality, \(\geq\) after manipulation becomes \(\leq\)) and draw an arrow to the left.