To graph this in Cartesian coordinates start by solving the inequality for either x or y:
y --less than or equal to-- 3-x/3
Now, if this were not an equality we would have y=3-x/3
this equation would yield a linear graph with a slope of -1/3 and a y intercept of 3
But the graph for the inequality must also could include all of the points (x,y) below this line so we end up with not a line but an entire region.
so right now in your head picture the line y=3-x/3. now color in the region below the line. this is the region where y is less than 3- x/3 and the line its self accounts for y=3-x/3.
The graph is the set of all value of x that are less than or equal to 3, so you draw a line parallel to the number line, under the 3 and to the left of it (less than). Also, underneath the point three you draw a circle at the end o your line. Since it is less than or equal to you fill in that circle. Otherwise it would only be an outline circle.
Quadrant 4 is completely shaded. In quadrant 4, y will always be less than 2x because y is negative and 2x is positive.
If x + 4 is less than or equal to 22, that means that x is less than or equal to 18
Arrange the inequality so that the variable is on the left. ex x < 7 If not equal to put an open circle at the number (7 in my example) if less than shade the number line to the left ( less than = shade left) if greater than shade right. If equal to put a point ( shaded dot) on the number follow same rules for shading
This is called an inequality. If x squared is greater than or equal to 49, then x is plus or minus 7 or greater than plus 7 or less than - 7.
times it
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to graph in equaltities in two variables, you graph the two numbers and/or variables. then you look at the sign to see if its greater than, less than, greater than or equal to, or less than or equal to and you graph the line as dashed or a solid
It is the circular disc with centre at the origin and radius = 3 units.
FALSE
ya motherrrrrrrrrrr.
A Zebra.(:
it will be an infinite region bounded by the lines x=2 and x=6
The graph is the set of all value of x that are less than or equal to 3, so you draw a line parallel to the number line, under the 3 and to the left of it (less than). Also, underneath the point three you draw a circle at the end o your line. Since it is less than or equal to you fill in that circle. Otherwise it would only be an outline circle.
The two inequalities define a region of the coordinate plane: there is no unique solution.
The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.
The relational operators are == (equal), != (not equal), < (less than), <= (less than or equal to), > (greater than) and >= (greater than or equal to). All relational operators are boolean, returning true or false depending on the l-value relationship with the r-value, with respect to the operator.