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QR Challenge: Math 110 Revision on Ch1

QuestionAnswer
The inequality form of [a,b] is a ≤ x ≤ b
The standard form for a linear equation in two variables is Ax + By = C, A and B are not equal to 0
The inequality form of [a,b) is a ≤ x < b
The graph of the equation x = a is a vertical line
The inequality form of (a,b] is a < x ≤ b
The inequality form of (a,b) is a < x < b
The graph of y = b is a horizontal line.
A company incurs a loss if the relation between Revenue R and Cost C is R < C.
The inequality form of (–∞,a] is x ≤ a
The point-slope form of the equation of the line with slope m that passes through (x1, y1) ) is y – y1 = m(x – x1).
The inequality form of (–∞,a) is x < a
In a competitive market, the intersection of the supply equation and the demand equation is called the equilibrium point
The inequality form of [b,∞) is x ≥ b
In a competitive market, the intersection of the supply equation and the demand equation is called the equilibrium point, the corresponding price is called the equilibrium price
The inequality form of (b,∞) is x > b
A first degree, or linear, equation in one variable is any equation that can be written in the form ax + b = 0 where a is not equal to zero. This is called standard form
If the equality sign in the standard form is replaced by <, >, ≤, or ≥, the resulting expression is called a first degree, or linear, inequality.
If we perform an operation on an equation (or inequality) that produces another equation (or inequality) with the same solution set, then the two equations (or inequalities) are equivalent.
If both sides of an inequality are multiplied by the same negative number or divided by the same negative number, then the direction or sense of the inequality will reverse
A company breaks even if the relation between Revenue R and Cost C is revenues R = costs C
The graph of x = k is the graph of a vertical line k units from the y-axis.
The graph of y = k is the graph of the horizontal line k units from the x-axis.
y = mx+b is called the slope-intercept form of an equation of a line.
Is formed by the intersection of a horizontal real number line, usually called the x axis, and a vertical real number line, usually called the y axis, at their origins A Cartesian or rectangular coordinate system .
y = mx+b The letter m represents the slope
The point with coordinates (0,0) is called the origin
A company makes a profit if the relation between Revenue R and Cost C is R > C
Is the coordinate of the intersection of the vertical line and the x axis The x coordinate.
y = mx+b The letter b represents y-intercept
The point-slope form of the equation of a line is y-y1=m (x-x1)

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