Question

Solve the inequality -3x - 7 = or < 8

Answer 1

Step-by-step explanation:

Isolate x.

7

−

8

x

>

19

−

7

Add

7

to

−

7

to cancel it out because it is the lowest number here.

But you do to one side what you do to the other, so add

7

to the positive

7

on the other side. You should now have:

14

−

8

x

>

19

Now, subtract

14

from

14

to cancel it out and do the same to the other side

(

19

)

. Now, you should have:

−

8

x

>

5

Now, to isolate

x

,

divide by

−

8

.

But remember when you divide or multiply an inequality by a negative value, the sign changes around.

−

8

x

−

8

<

5

−

8

Because you divided by a negative, the sign flips:

x

<

−

5

8

Answer 2

Answer:  x $\geq$ -5

Step-by-step explanation:

-3x - 7 $\leq$ 8

add 7 to both sides

-3x $\leq$ 15

divide both sides by -3, you also have to flip the inequality sign because you are dividing by a negative.

x $\geq$ -5