−x+3>2or
−6>−x+3
To solve the first inequality, we would isolate the variable x:
-x + 3 > 2
Subtract 3 from both sides:
-x > -1
Since we are dividing by a negative number, we need to flip the inequality sign:
x < 1.
To solve the second inequality, we would isolate the variable x:
-6 > -x + 3
Subtract 3 from both sides:
-9 > -x
Again, we need to flip the inequality sign because we are dividing by a negative number:
x > 9.
Therefore, the solution to the system of inequalities is x < 1 or x > 9.