Question

CAN U HELP ME WITH THIS?:(

Answer 1

a) Each of the inequalities determine the semiplane, first semiplane is shaded in red with solid boundary line (because the inequality has sign ≥), second semiplane is shaded in blue with dashed boundary line (because the inequality has the sign <). The common region represents the solution of this system of two inequalities.

b) Pick a point (10,5) from the shaded region. Since

`5\ge -(1)/(2)\cdot 10+2(1)/(2)=-5+2(1)/(2)=-2(1)/(2),\\ \\5<(1)/(5)\cdot 10+6=2+6=8,`

the coordinates of this point are the solution of the system.