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PilotLPTM [1.2K]
3 years ago
8

Solve the following inequality:

Mathematics
2 answers:
Advocard [28]3 years ago
8 0

Answer:

The answer is a>-3

Step-by-step explanation:

option no. C

#Hope it helps uh......

Dmitrij [34]3 years ago
4 0

Answer:

D

Step-by-step explanation:

first you should move 2 over so then we get this

-3a > 9

then you need to divide by 3 on both sides to get x by its self

-3a/3> 9/-3

after dividing you have to flip the sign because the the coefficient is negative

now we get a< -3​

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Check the picture below.

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so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.

\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}

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