Question

What is the solution to |2x - 8| ≤ 6?

Answer 1

[1,7]

Step-by-step explanation: Write

|

2

x

−

8

|

≤

6

as piecewise.

{

2

x

−

8

≤

6

x

≥

4

−

2

x

+

8

≤

6

x

<

4

Solve

2

x

−

8

≤

6

when

x

≥

4

.

4

≤

x

≤

7

Solve

−

2

x

+

8

≤

6

when

x

<

4

.

1

≤

x

<

4

Find the union of the solutions.

1

≤

x

≤

7

The result can be shown in multiple forms.

Inequality Form:

1

≤

x

≤

7

Interval Notation:

[

1

,

7

]