Question

Match the inequality to the graph of its solution.

Answer 1

1.- x < 10

2.- x ≤ -4

3.- x > 4

Explanation:

in this type of graph when you have an empty circle it means that that number is not included in the interval, and when you have a filled circle it means that the number is included in the interval.

1.- in the first graph you have an the values less than 10, not including the 10. This is represented by the following inequality

x < 10

2.- in the second graph we have that the interval includes values less than -4, this time including the -4, so the inequality is:

x ≤ -4

3.- in the last graph the interval includes values greater than 4, without including the number 4, so the inequality is:

x > 4

Answer 2

1. x <10

2. x ≤ -4

3. x>4

Explanation:

Things to remember when graphing inequalities on a number line are;

• If the symbol is greater than ≥ or less than ≤ then you fill in the dot, completely shading it and show the direction
• If the symbol is greater > ,or less < , then you do not fill in the dot or you do not shade the dot.Show the direction.
• When the symbol is = then you fill in the dot .No direction is shown.