28≥−5x−2and

Question

−5x−2>−47

Answer 1

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