Solve the following inequalities and give the solutions in both set and interval notations. -2x + 5 < -x + 25

4y + 3 > 23          subtract 3 from both sides

4y > 20                divide both sides by 4

y > 5

-2y > -2                divide both sides by -2 (the order changes)

y < 1

(-oo, 1) ∪ (5, oo)

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SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.