Question Express the inequality -2 8 using interval notation.
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(-2, 8)

Step-by-step explanation:

To express any given inequality, note the following:

✔️< or > means the end value or the beginning value referred to is not included.

✔️ ≤ or ≥ indicates that the end of beginning value is included.

✔️ "( )" when used in writing an inequality in interval notation means an end or beginning value is not included.

✔️. "[ ]" means the end or beginning value is included.

Now let's express -2 < x < 8 using interval notation.

✅The beginning value is -2, which is < x. This means -2 is not included. Therefore, we would start our interval notation by stating this as: "(-2"

✅The end value is 8. x < 8. The "<" sign means 8 is not included. Thus, this statement would be expressed in interval notation as "8)"

✔️Combining both together, the inequality is experessed in interval notation as (-2, 8)

a. 19,958,400

step-by-step explanation:

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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°

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