In triangle abc, you know that a = 2, b = 3 and m < a = 30°. which option below lists the number of triangles and gives the correct explanation?

there are no triangles because b sin a < a.
there is exactly one triangle because b sin a = 0.5b.
there are two triangles because b sin a < a < b.
there are three triangles because b sin a = 0.5b and b sin a < a < b.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)