Question

Choose the correct description of the graph of the compound inequality

3x + 1 > 10 and 4x less than or greater to 20

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

Answer 1

3x + 1 >10
3x > 10 - 1
3x > 9
x > 3

4x < 20
x < 5

If less then, iy shades to the left, if greater then, it shades to the right. If there is an equal sign, it is a closed circle, if there is no equal sign, it is an open circle.

so we have x > 3 and x < 5
There is no equal sign, so we know that the circles will be open.
That eliminates C and D.

greater then 3 means shading to the right...that eliminates B.

your answer is A.