Q. Is (1,1) a solution to this system of inequalities?5x+8y≤14x+12y<18Choices:(A)yes(B)no
Check Point (1,1): Does the point (1,1) satisfy the inequality 5x+8y≤14?Substitute 1 for x and 1 for y in 5x+8y≤14.5(1)+8(1)≤145+8≤14(1,1)0Since (1,1)0 is true, (1,1) satisfies the inequality 5x+8y≤14.
Verify Inequality 1: Does the point (1,1) satisfy the inequality x + 12y < 18?Substitute 1 for x and 1 for y in x + 12y < 18.1 + 12(1) < 181 + 12 < 1813 < 18Since 13 < 18 is true, (1,1) satisfies the inequality x + 12y < 18.
Verify Inequality 2: Is (1,1) a solution to the system of inequalities?Since (1,1) satisfies both inequalities 5x+8y≤14 and x + 12y < 18, it is a solution to the system of inequalities.
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