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Find the inequality represented by the graph.

Step-by-step explanation:

First, let's find the equation of the line.

Use points (0, -2) and (1, 2) on the graph.

The y-intercept is (0, -2), find the slope:

The line is:

Now, we see the line is dotted and the space to the left side is shaded.

Dotted line means the inequality doesn't include the points on the line, therefore the sign would be > or <.

Since the left side of the line includes greater values of the function, it should have > sign.

So the inequality is:

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

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step-by-step explanation: