28≥−5x−2and
−5x−2>−47
Starting with the first inequality:
28 ≥ -5x - 2
Adding 2 to both sides:
30 ≥ -5x
Dividing both sides by -5 (note that we have to switch the inequality sign because we are dividing by a negative number):
-6 ≤ x
So the first inequality can be written as x ≥ -6.
Now let's move on to the second inequality:
-5x - 2 > -47
Adding 2 to both sides:
-5x > -45
Dividing both sides by -5 (again, switch the inequality sign):
x < 9
So the second inequality can be written as x < 9.
Putting it all together, we have:
x ≥ -6 and x < 9