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.

-2b - 6 < -1 - 4b
-2b < -1 - 4b + 6
-2b + 4b < -1 + 6
2b < 5
b < \( \frac{5}{2} \)
b < 2\(\frac{1}{2}\)

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

b² + 6b + 5 = 0
(b + 1)(b + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b + 5) must equal zero:

If (b + 1) = 0, b must equal -1
If (b + 5) = 0, b must equal -5

So the solution is that b = -1 or -5

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, 2) so the slope becomes:

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with b° = 140, the value of y° is 140.