Determine if the ordered pair (−1, −5) is a solution to the inequality y is less than or equal to negative three fourths times x minus 1.
We can determine if the ordered pair (−1, −5) is a solution to the inequality y ≤ -3/4(x-1) by substituting the values of x and y into the inequality and checking if it is true or false.
y ≤ -3/4(x-1)
-5 ≤ -3/4(-1-1)
-5 ≤ -3/4(-2)
-5 ≤ -3/2
Since -5 is indeed less than or equal to -3/2, the inequality is true. Therefore, the ordered pair (-1, -5) is a solution to the inequality y ≤ -3/4(x-1).