Final answer:
To solve the inequality −4x ≥ 14 and express the solution using interval notation, divide both sides of the inequality by -4. The solution in interval notation is [-∞, -3.5].
Step-by-step explanation:
To solve the linear inequality −4x ≥ 14, we need to isolate x on one side of the inequality sign. First, we divide both sides of the inequality by -4, remembering that dividing by a negative number flips the inequality sign.
This gives us x ≤ -3.5. However, when expressing the solution using interval notation, we use square brackets for values that are included and round brackets for values that are excluded.
In this case, since x can be equal to -3.5, the solution expressed in interval notation is [-∞, -3.5].