Question

Which inequality is equivalent to I x-4 I <9

Answer 1

(B) –9 < x – 4 < 9 inequality is equivalent to Ix-4I <9.

What is inequality?

• Inequality is a statement of an order relationship between two numbers or algebraic expressions (greater than, greater than, or equal to, less than, or less than or equal to).
• Inequality is defined as a difference in size, amount, quality, social position, or another factor.
• Inequality occurs when you have ten of something and someone else has none.
• (mathematics) A statement stating that one quantity is less than (greater than) another.

So, Ix-4I <9:

• |x-4|<9 ⇒ -9 < x-4 < 9
• -5 < x < 13

Therefore, (B) –9 < x – 4 < 9 inequality is equivalent.

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The complete question is given below:

Which inequality is equivalent to I x-4 I <9?

A –9 > x – 4 < 9

B –9 < x – 4 < 9

C x – 4 < –9 or x – 4 < 9

D x – 4 > –9 or x – 4 < 9