Question

10.

Solve the inequality.

–8 ≤ 2x – 4 < 4


A. –2 ≤ x < 4


B. –6 ≤ x < –2


C. –2 ≤ x < 0


D. 0 ≤ x < 6

Answer 1

Answer: A

Explanation:

-8 < 2x-4<4

2x-4<4

-8+4< (2x-4)+4

(2x-4)+4 <4+4

In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them.

2x-4<4 In order to solve this linear inequality, we need to group all the variable terms on one side, and all the constant terms on the other side of the inequality.

For example,

- term -4 , will be moved to the left side.

Notice that a term changes sign when it 'moves' from one side of the inequality to the other.

The result is:

A

Answer 2

The Answer is A

Explanation:

-8 < 2x-4<4

2x-4<4

-8+4< (2x-4)+4

(2x-4)+4 <4+4

In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them.

2x-4<4 In order to solve this linear inequality, we need to group all the variable terms on one side, and all the constant terms on the other side of the inequality.

For example,

- term -4 , will be moved to the left side.

Notice that a term changes sign when it 'moves' from one side of the inequality to the other.

The result is:

A