Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39?
2 answers:
Answer:
B. Number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.
Step-by-step explanation:
Given compound inequality,
4p + 1 > −11 or 6p + 3 < 39,
4p > - 11 - 1 or 6p < 39 - 3
4p > -12 or 6p < 36
p > -3 or p < 6
⇒ -3 < p < 6
⇒ (-3 6)
That is, number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.
Option 'B' is correct.
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