Question

Solve for x and graph the solution on the number line below.

Answer 1

See image

Explanation:

"Solve for x" means get the x all by itself. So multiply by -2 on both sides of the inequality. When you multiply by a negative number like that ***!!!*** its VERY important that you reverse the inequality symbol in the math sentence.

x/-2 <= -2

(-2) x/-2 <= -2 (-2)

x >= 4

This sentence can now be graphed on a number line. It says 'all the numbers bigger than four or equal to four' See image for graph.

Since there is an equal to bar under the greater (less) than symbol. You use a closed dot (sometimes higher level math classes want you to use a square bracket instead [ The closed dot or square bracket means the four is included in the answer. The arrow goes to the right, because those are all the numbers bigger than four.

Answer 2

x ≥ 4

Explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

Inequality Form:

x ≥ 4

Interval Notation:

[ 4 , ∞ ]

The graph will be a horizontal line.