The coordinate grid shows points A through K. What point is a solution to the system of inequalities?y < −2x + 10y < 1/ 2x − 2A) IB) BC) AD) F

Answer:Option D) FStep-by-step explanation:we have[tex]y < -2x+10[/tex] -----> inequality AThe solution of the inequality A is the shaded area below the dashed line [tex]y=-2x+10[/tex]The y-intercept of the dashed line is (0,10)The x-intercept of the dashed line is (5,0)[tex]y < \frac{1}{2}x-2[/tex] ----> inequality B  The solution of the inequality B is the shaded area below the dashed line [tex]y=\frac{1}{2}x-2[/tex]The y-intercept of the dashed line is (0,-2)The x-intercept of the dashed line is (4,0)The solution of the system of inequalities is the shaded area between the two dashed lines see that attached figureRemember thatIf a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solutionthereforeThe solution are the pointsE, F and G