Question

Solve the following inequality. Graph the solution set and then write it in interval notation. - 3x≥6

Answer 1

• Graph C

,

• (-∞, -2]

Step-by-step explanation:

Given the inequality:

`-3x\ge6`

Divide both sides of the inequality by -3.

`\begin{gathered} -(3x)/(-3)\le(6)/(-3) \\ x\le-2 \end{gathered}`

Note that when you divide by a negative number in inequality, the inequality sign is reversed.

• The correct graph of the solution set is Graph C. (This is because the closed bracket [ is used).

• The solution in interval notation is:

`(-\infty,-2\rbrack`