Identify the graph of the compound inequality (-2 < 2x -6)

Step-by-step explanation:

We have been given an inequality . We are asked to graph the given inequality.

Let us solve for x.

Add 6 on both sides:

Divide both sides by 2:

Therefore, the solution for our given inequality is all values of x greater than 2.

We will have an open dot at and the arrow will on number line will point towards positive side.

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