Set Pair
Set Pair
Given the pair of inequalities, graph their solution set?
Given the pair of inequalities,
y > x + 1 and y < 3/2x + 3
graph their solution set.
How do I graph this?
Thank you for the help!
the answer is simple:
be aware of the formula: y=mx+b with m as the slope and b as the y-intercept. This is true also in inequalities.
to graph the equation:
1) plot the y-intercept of the first equation which is 1
2) with the slope 1/1 in the first equation, move 1 point up and 1 point right from the y intercept
3) do the same procedure until you get 3 coordinates
4) note that the inequality symbol is (>), so join the points with a crooked line.
5) do the same with the second equation, except use 3 for the y-intercept and 3/2 as the slope
after you finish give coordinates from any quadrant which you believe is the solution set. substitute these values for the given equations. In this case try (0,2). the equations should look like this:
2>0+1 and 2<3/2(0) + 3
If the equation is true, then the solution set is the region in between the line of the first and second equations until they intersect at point (-4,-3). Note that the lines are not included because the equation states that the solution set is 'greater than' the first equation and 'less than' the second equation.
PS this may sound confusing at first but if you perform the operation on a graphing paper you will understand what I mean.
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