Which point lies on the solution set for the system?
2y  x ≥ 6 2y  3x < 6 A.) (4,1) B.) (3,1) C.) (0,3) D.) (4,3)
Substitute the coordinates, from the answer choices, into the inequalities. If it creates a true statement, in both inequalities, then that point lies on the solution set for the system.
For point A.) (4,1) 2y  x ≥ 6 2(1)  (4) ≥ 6 {substituted into first inequality} 2 + 4 ≥ 6 {multiplied} 2 ≥ 6 {added} True statement 2y  3x < 6 2(1)  3(4) < 6 {substituted into second inequality} 2 + 12 < 6 {multiplied} 10 < 6 {added} False statement. Point A.) does not lie on the solution set. For point B.) (3,1) 2y  x ≥ 6 2(1)  3 ≥ 6 {substituted into first inequality} 2  3 ≥ 6 {multiplied} 1 ≥ 6 {subtracted} True statement. 2y  3x < 6 2(1)  3(3) < 6 {substituted into second inequality} 2  9 < 6 {multiplied} 7 < 6 {subtracted} True statement. Point B.) does lie on the solution set. B.) (3,1) Ask Algebra House Comments are closed.

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