2. Look at the inequality 12 + 6x > 99.
Tell whether each statement about the inequality is true or false.
a. 0 is a solution. (TRUE or FALSE)
b. 13 is a solution. (TRUE or FALSE)
C. 14.5 is a solution. (TRUE or FALSE)
d. 64 is a solution. (TRUE or FALSE)
e. There is only one solution. (TRUE or FALSE)

(a) False

(b) False

(c) False

(d) True

(e) False

Step-by-step explanation:

The solution to the inequality is x < 14.5. This means that all values must be greater than 14.5 for it to be a solution. (Which is why e is false)

0 and 13 would not work because they are less than 14.5.

With C, 14.5 is EQUAL to 14.5. This would also not work.

64 is the only number listed that is greater than 14.5.

And E is false because ANY number that is greater than 14.5 can work.

[see work in picture]

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this