Select all of the ordered pairs that are solutions to the following system of inequalities.
y>5–3x
6x–5y< –2
To find the ordered pairs that satisfy both inequalities, we need to find the values of x and y that satisfy both inequalities simultaneously.
Let's first solve the inequality y > 5 - 3x:
-1 > -3x
x < 1/3
Now let's solve the inequality 6x - 5y < -2 by substituting x < 1/3:
6(1/3) - 5y < -2
2 - 5y < -2
-5y < -4
y > 4/5
y > 0.8
So, the ordered pairs that are solutions to both inequalities are:
(-1, 0.9)
(0, 0.8)