Question

Use the table to solve the inequality −3x ≤ 3.The solution of the inequality is .

Answer 1

Answer:

x $\geq$ -1

Step-by-step explanation:

First, we divide each side by -3. Since the number that we are dividing by is negative we have to flip our inequality symbol.

I hope this helps!

Answer 2

Answer:4

,

5

)

Step-by-step explanation:

See a solution process below:

Explanation:

First, subtract  

3

from each segment of the system of inequalities to isolate the  

x

term while keeping the system balanced:

−

3

−

12

<

−

3

+

3

−

3

x

≤

−

3

+

15

−

15

<

0

−

3

x

≤

12

−

15

<

−

3

x

≤

12

Now, divide each segment by  

−

3

to solve for  

x

while keeping the system balanced. However, because we are multiplying or dividing inequalities by a negative number we must reverse the inequality operators:

−

15

−

3

>

−

3

x

−

3

≥

12

−

3

5

>

−

3

x

−

3

≥

−

4

5

>

x

≥

−

4

Or

x

<

5

and  

x

≥

−

4

Or, in interval notation:

[

−

4

,

5

)