Solve 4x+6< -6 explain all the steps i’ll give brainliest answer to the correct answer with steps

Hello from MrBillDoesMath!

 x < -3

Discussion:

4x +6  < -6   (given)

Subtract 6 from both sides:

4x + (6 -6)  < -6  -6 =>

4x + 0 < -12 =>

4x < -12 =>

Divide both sides by 4 gives:

(4/4)x <  -12 (1/4) or

x < -3

Thank you,

MrB

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.

step-by-step explanation: