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Equations in the form of Ax+By=C are straight lines when graphed. If the symbol

ID: 3029059 • Letter: E

Question

Equations in the form of Ax+By=C are straight lines when graphed. If the symbol is changed to >,<, a linear inequality in two variables is obtained. For example (X+Y>2) (3x-5y<15) and 2x-y<4. An ordered pair of real numbers is a solution of an inequality in two variables X and Y. When the X- coordinate is substitute for X and the Y coordinate is substitute for Y in the inequality, a true statement is obtained. Thus (3,2) is a solution of the inequality X+Y>1. When 3 is substitute for X and 2 is substitute for Y, the statement is true therefore X=3+Y=2 is > 1 or 3+2=5>1. Equations in the form of Ax+By=C are straight lines when graphed. If the symbol is changed to >,<, a linear inequality in two variables is obtained. For example (X+Y>2) (3x-5y<15) and 2x-y<4. An ordered pair of real numbers is a solution of an inequality in two variables X and Y. When the X- coordinate is substitute for X and the Y coordinate is substitute for Y in the inequality, a true statement is obtained. Thus (3,2) is a solution of the inequality X+Y>1. When 3 is substitute for X and 2 is substitute for Y, the statement is true therefore X=3+Y=2 is > 1 or 3+2=5>1. Equations in the form of Ax+By=C are straight lines when graphed. If the symbol is changed to >,<, a linear inequality in two variables is obtained. For example (X+Y>2) (3x-5y<15) and 2x-y<4. An ordered pair of real numbers is a solution of an inequality in two variables X and Y. When the X- coordinate is substitute for X and the Y coordinate is substitute for Y in the inequality, a true statement is obtained. Thus (3,2) is a solution of the inequality X+Y>1. When 3 is substitute for X and 2 is substitute for Y, the statement is true therefore X=3+Y=2 is > 1 or 3+2=5>1.

Explanation / Answer

for x=3   and y= 2

we will plug x= 3, y= 2 in inequality x+y>1

we get   3+2>1

5>1

it is true