Question

What is the solution set to the compound inequality? 2x - 5 ≤ -9 and 3(2-3x) ≤ 15?

(3) [-1, ∞)
(4) Ø
(1) (-∞, -2]
(2) [-2, -1]
Pls what anwser it is?
Porfa Que Respuesta Es?​

Answer 1

Solve for x.

Explanation:

3

x

–

1

<

8

or

x

–

5

>

0

Show Solution

Solve each inequality by isolating the variable.

x

−

5

>

0

OR

3

x

−

1

<

8

+

5

+

5

––––––––––

+

1

+

1

–––––––––––

x

>

5

3

x

–––

<

9

–

3

3

x

<

3

x

>

5

or

x

<

3

Write both inequality solutions as a compound using or, using interval notation.

Answer

Inequality:

x

>

5

or

x

<

3

Interval:

(

−

∞

,

3

)

∪

(

5

,

∞

)

The solution to this compound inequality can also be shown graphically. Sometimes it helps to draw the graph first before writing the solution using interval notation.