Question

Choose the correct description of the graph of the compound inequality:

3x + 1 > 7 and 4x less than or equal to 24

A number line with an open circle on 2, a closed circle on 6, and shading in between
A number line with an open circle on 2, shading to the left, and a closed circle on 6, shading to the right
A number line with a closed circle on 2, shading to the left, and an open circle on 6, shading to the right
A number line with a closed circle on 2, an open circle on 6, and shading in between

Answer 1

`\left \{ {{3x+1\ \textgreater \ 7} \atop {4x \leq 24}} \right. \ \ \ \to \ \ \ \left \{ {{3x\ \textgreater \ 6} \atop {x \leq 6}} \right. \ \ \ \to \ \ \ \left \{ {{x\ \textgreater \ 2} \atop {x \leq 6}} \right. \\ \\\\{} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ //////////////////// \\ -----(2)---------[6]-----\ \textgreater \`


A number line with an open circle on 2, a closed circle on 6, and shading in between