PL HELP>>> Solve the following inequality. Write your answer as one inequality with no spaces. -12 < 3x-1 < 3

-11/3 < x < 4/3

Step-by-step explanation:

-12 < 3x - 1 < 3

Add 1 to all parts.

-12 + 1 < 3x - 1 + 1 < 3 + 1

-11 < 3x < 4

Divide all parts by 3.

-11/3 < 3x/3 < 4/3

-11/3 < x < 4/3

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