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contestada

Choose the correct description of the graph of the compound inequality 3x + 1 > 10 and 4x 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 an closed circle on 3, shading to the left, and a open circle on 5, and shading to the right

D. A number line with a closed circle on 3, an open circle on 5, with shading in between.

Respuesta :

Jieep

A number line with an open circle on 3, a closed circle on 5, and shading in between
calculista

we have in this problem

[tex] 3x+1 > 10 [/tex] ------> inequality [tex] 1 [/tex]

[tex] 4x \leq 20 [/tex] ------> inequality [tex] 2 [/tex]

Solve the inequality [tex] 1 [/tex]

[tex] 3x+1 > 10\\ 3x > 10-1\\ 3x > 9\\ x > 3 [/tex]

the solution is the interval------> (3,∞)

Solve the inequality [tex] 2 [/tex]

[tex] 4x \leq 20\\\\ x \leq \frac{20}{4} \\\\ x \leq 5 [/tex]

the solution is the interval------> (-∞,5]

Find the solution for the system

(3,∞) ∩ (-∞,5]--------> (3,5]

therefore

the answer is the option

A. A number line with an open circle on 3, a closed circle on 5, and shading in between.

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