➣ Answers:
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Q1: What is the mode and mean for the following set of numbers? {4,9,8,2,16,4,4,8,9,6}
A: mean = 7, mode = 4
Mean is found by adding all the numbers together and dividing by the number of digits in the set. 4+9+8+2+16+4+4+8+9+6 = 70/10 = 7 = mean. Mode is the number that is repeated the most = 4.
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Q2: What is the solution set for x for the inequality |2x+ 7| > 11?
A: x < -9 or x > 2
Split the inequality |2x+7| > 11 into two inequalities: 2x + 7 > 11 and 2x + 7 < -11.
Solve both for x:
2x + 7 > 11 , 2x + 7 < -11
2x > 4 , 2x < -18
x > 2 , x < -9
Therefore, x < -9 or x > 2.
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