Answer:
see explanation
Step-by-step explanation:
Inequalities of the form | x | < a , always have solutions of the form
- a < x < a
Given | x - 12 | < 3, then
- 3 < x - 12 < 3 ( add 12 to all 3 intervals )
9 < x < 15
x−12<3
Step 1: Add 12 to both sides.
x−12+12<3+12
x<15
-15x + 30
-3(5x -10)
ok thank you
5.25
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
18 = 2×3×3
30 = 2×3×5
The LCM will have factors of 2, 3², and 5. (Choose the highest power of each prime.)
2×3×3×5 = 90 is the LCM of 18 and 30.