how do you graph system of inequlaities ?

first convert inequalities into equations i.e. make it equal to zero then plot these eqns. Now according to the inequalities, area above or below these lines are the required solutions.

doo youu have any examples ? please

x+3> 0 x +5 >0 Change to equations x+3=0 x+5=0 Plot these lines Now, Since the 1st ineq says x+3 >0. So, for this ineq, solution will be the area above line x+3=0 and 2nd ineq says x+5>0 . So the solution for this ineq will be the area above line x+5>0 But since we are solving system of both equations, we will take the area which is common to both as our solution, which is, all the area above line or in case of my equations, area to the right-side of the line will be the final solution.

what about y>-x=2 and y greater than or equal to 2/3x=5 ? its a fraction type

not a problem. Simply put some values of x in the given eqn like x=-1, 0 , 1 -2, 2 and so on. You will get corresponding values of y from the eqn. Now plot the co-ordinates (x,y) on graph and draw a line through these points. You will get 2 lines for 2 equations. And then see the common area.

ok thanks

Join our real-time social learning platform and learn together with your friends!