The answer depends on the nature of the inequality: whether it is linear, quadratic or has some other functional form.
The shaded area of the graph of an inequality show the solution to the inequality. For example, if the area below y = x is shaded it is showing those ordered pairs which solve y < x.
If a variable goes from X to Y, change = Y-X.The absolute change = Y-X or X-Y, whichever is positive.The percentage change = 100*Change/X = 100*(Y-X)/X or 100*(Y/X - 1)
You cannot solve x plus y since that is an expression, not an equation (nor inequality).
To graph the inequality ( y + 2 > -3(x + 1) ), first, rearrange it to isolate ( y ): ( y > -3x - 3 - 2 ), which simplifies to ( y > -3x - 5 ). This represents a straight line with a slope of -3 and a y-intercept of -5. Since the inequality is strict (greater than), you would draw a dashed line for ( y = -3x - 5 ) and shade the region above the line to indicate all the points that satisfy the inequality.
The equation ( y = -x + 4 ) represents a linear boundary line in a two-dimensional coordinate plane. The inequality ( y < -x + 4 ) indicates that we are interested in the region below this line. The line itself is not included in the solution set, as indicated by the strict inequality, which distinguishes the boundary from the solutions. Thus, the boundary line serves as a critical demarcation for the area that satisfies the inequality.
"y - x + 1" is not an inequality. It is a simple expression. If you want something like "y - x + 1 > 0" that would be an inequality. Rephrase and resubmit.
The Cauchy-Schwartz inequality is a mathematical inequality. It states that for all vectors x and y of an inner product space, the dot product of x and y squares is less than or equal to the dot product of x to itself multiplied by y to itself.
It is commutative: If x is not equal to y then y is not equal to x. It is not reflexive, not transitive.
The shaded area of the graph of an inequality show the solution to the inequality. For example, if the area below y = x is shaded it is showing those ordered pairs which solve y < x.
Y > -x
|X| < y where y is non-negative, is equivalent to -X > -y and X < y.One way to think about it is that the distance of X from the origin - irrespective of direction - is less than y.
No. It is not transitive. x ≠y and y ≠z does not imply that x ≠z
y - x - 3 is an expression, not an equation nor an inequality. It cannot, therefore, have a solution.
If a variable goes from X to Y, change = Y-X.The absolute change = Y-X or X-Y, whichever is positive.The percentage change = 100*Change/X = 100*(Y-X)/X or 100*(Y/X - 1)
You cannot solve x plus y since that is an expression, not an equation (nor inequality).
The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
y -x - 2 is not an equation (nor an inequality) and so there is no way to graph it.