Solve the following inequality. Negative one-half p less-than negative 16 Which graph shows the correct solution? A number line going from 27 to 37. An open circle is at 32. Everything to the right of the circle is shaded. A number line going from 27 to 37. An open circle is at 32. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the right of the circle is shaded.

Respuesta :

Answer:

An open circle at 32 and everything to the right of the circle is shaded.

Step-by-step explanation:

[tex]-\dfrac12p < -16[/tex]

Divide both sides by -1 (remembering to reverse the sign):

[tex]\implies \dfrac12p > 16[/tex]

[tex]\implies p > 32[/tex]

Open circle:  < or >

Closed circle:  ≤ or ≥

Therefore, open circle at 32 and everything to the right of the circle is shaded.