Which of the following are solutions to the inequality below? Select all that apply.
3 + u/11 < -6
u = -143
u = -121
u = -11
u = -66
Which of the following are solutions to the inequality below? Select all that apply. 3 + u/11 < -6 u = -143 u = -121 u = -11 u = -66
Share
To solve the inequality (3 + frac{u}{11} < -6), we first isolate (u):
1. Subtract 3 from both sides:
[
frac{u}{11} < -6 - 3
]
[
frac{u}{11} < -9
]
2. Multiply both sides by 11 (remembering that multiplying or dividing by a negative number reverses the inequality, but since 11 is positive, we won’t reverse it):
[
u < -99
]
Now, we need to check which values among the given options satisfy this condition ((u < -99)):
– (u = -143) (satisfies, since (-143 < -99))
– (u = -121) (satisfies, since (-121 < -99))
– (u = -11) (does not satisfy, since (-11 > -99))
– (u = -66) (does not satisfy, since (-66 > -99))
Thus, the solutions to the inequality are:
– (u = -143)
– (u = -121)
Feel free to ask if you have more questions or need further clarification!