MATH
1. Evaluate three times a number x plus 5 less than twice that same number if the value of the number x is 12.
A. 15
B. 17
C. 19
D. 21
Solution:
[tex]3x + 5 - 2x \\ \\ = 3(12) + 5 - 2(12) \\ \\ = 36 + 5 - 24 \\ \\ = 41 - 24 \\ \\ = 17[/tex]
Answer:
B. 17
2. Which of the following are the possible values of | x – 3| < 21?
A. { x | x > -18 or x < 24 }
B. { x | - 18 < x < 24 }
C. { x | x > - 3 or x < 21 }
D. { x | - 3 < x < 21 }
Solution:
[tex] |x - 3| < 21 \\ - 21 < x - 3 < 21 \\ x - 3 > - 21, \: x - 3 < 21 \\ x > - 18,x < 24 \\ - 18 < x < 24[/tex]
Answer:
B. { x | - 18 < x < 24 }
