Question

Choose the correct description of the graph of the compound inequality

3x + 1 > 10 and 4x <= 20

A: A number line with a closed circle on 3, an open circle on 5, and shading in between.
B: A number line with an open circle on 3, shading to the left, and a closed circle on 5, shading to the right.
C: A number line with an open circle on 3, a closed circle on 5, and shading in between.
D: A number line with a closed circle on 3, shading to the left, and an open circle on 5, and shading to the right.

Answer 1

First, reduce the two inequalities so that x is alone. For example, in the second inequality divide both parts by 4 to get x <= ?

Then. decide which inequality has which circle (open vs closed) and find the options where that circle is paired with the right number.

Finally, shade in the direction the inequalities state; (e.g. shade right if the number is greater than x, left if less than x).