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Identify the solution of the inequality |9m| + 40 > 4 and the graph that represents it.

Identify the solution of the inequality |9m| + 40 > 4 and the graph that represents-example-1
User Denis Ivin
by
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2 Answers

3 votes

Answer:

All real numbers.

Explanation:

The bars either side of an expression or a value are the absolute value symbol. "Absolute value" means how far a value is from zero. Therefore, the absolute value of a number is its positive numerical value.

Given inequality:


|9m|+40 > 4

Subtract 40 from both sides to isolate the absolute value on one side of the equation:


\implies |9m|+40-40 > 4-40


\implies |9m| > -36

As the absolute value of a number or expression is its positive numerical value:


\implies |9m| \geq 0

Therefore, as 9m is always greater than or equal to zero, it will always be greater than -36, regardless of the value of m.

Therefore, the solution of the given inequality is all real numbers.

User Aaron Palmer
by
8.7k points
1 vote

Answer:

  • B) All real numbers

===========================

Given

  • Inequality |9m| + 40 > 4

Solution

  • |9m| + 40 > 4
  • |9m| > - 40 + 4
  • |9m| > - 36
  • |m| > - 4

Since absolute value is never negative, this inequality is correct for any value of m.

Correct answer choice is B.

User Gordana
by
7.3k points

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