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.

7b - 5 > \( \frac{b}{-5} \)
-5 x (7b - 5) > b
(-5 x 7b) + (-5 x -5) > b
-35b + 25 > b
-35b + 25 - b > 0
-35b - b > -25
-36b > -25
b > \( \frac{-25}{-36} \)
b > \(\frac{25}{36}\)

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 4. 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, 10) and (2, -2) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -3x + 4

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

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:

x² + x - 30 = x - 5
x² + x - 30 + 5 = x
x² + x - x - 25 = 0
x² - 25 = 0

Next, factor the quadratic equation:

x² - 25 = 0
(x - 5)(x + 5) = 0

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

If (x - 5) = 0, x must equal 5
If (x + 5) = 0, x must equal -5

So the solution is that x = 5 or -5