\left|16x\right|\le 8 Please help me with this, and thank you.

Question

`\left|16x\right|\le 8`
Please help me with this, and thank you.

Answer 1

• -1/2 ≤ x ≤ 1/2 or x∈ [- 1/2, 1/2]

Explanation:

• |16x| ≤ 8
• |16x/16| ≤ 8/16
• |x| ≤ 1/2

• x ≤ 1/2 or x ≥ - 1/2

Combination of two inequalities above:

• -1/2 ≤ x ≤ 1/2

Or interval notation:

• x∈ [- 1/2, 1/2]