For the system of inequalities y greater than or equal to 2x – 1 and y less than or equal to 3x – 1, which of the following statements best describes the ordered pair (1,1)? a) The point (1,1) is a solution for y greater than or equal to 2x – 1, but no

The point (1,1) is an ordered pair representing the values of x and y. To determine if it satisfies the inequalities given, we substitute the values of x = 1 and y = 1 into each inequality separately. For the inequality {eq}y geq 2x - 1{/eq}, we have: {eq}1 geq 2(1) - 1 {/eq} This simplifies to: {eq}1 geq 1 {/eq} Since the inequality is true, we can say that (1,1) is a solution for {eq}y geq 2x - 1{/eq}. For the inequality {eq}y \leq 3x - 1{/eq}, we have: {eq}1 \leq 3(1) - 1 {/eq} This simplifies to: {eq}1 \leq 2 {/eq} Since the inequality is true, we can say that (1,1) is also a solution for {eq}y \leq 3x - 1{/eq}. Therefore, (1,1) satisfies both inequalities given in the system. The correct statement is option c) The point (1,1) is a solution for the entire system.