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

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)

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