To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-9b + 8 < -8 + 6b
-9b < -8 + 6b - 8
-9b - 6b < -8 - 8
-15b < -16
b < \( \frac{-16}{-15} \)
b < 1\(\frac{1}{15}\)

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(3a)(3ab) - (9a²)(8b)
(3 x 3)(a x a x b) - (9 x 8)(a² x b)
(9)(a¹⁺¹ x b) - (72)(a²b)
9a²b - 72a²b
-63a²b

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

a² + 3a - 35 = 3a + 1
a² + 3a - 35 - 1 = 3a
a² + 3a - 3a - 36 = 0
a² - 36 = 0

Next, factor the quadratic equation:

a² - 36 = 0
(a - 6)(a + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 6) or (a + 6) must equal zero:

If (a - 6) = 0, a must equal 6
If (a + 6) = 0, a must equal -6

So the solution is that a = 6 or -6