Part A: Explain why x = 5 makes 4x − 1 ≤ 19 true but not 4x − 1 < 19. (5 points) Part B: What value from the set {6, 7, 8, 9, 10} makes the equation 5x + 2 = 47 true? Show your work. (5 points)

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Answer:

A: ≤ means less than OR equal to. < only means less than

B: 9

Explanation:

A: Because it would equal 19, and 19 is EQUAL than 19. 4(5) - 1 would equal 19, which is equal to 19, and not less than. ≤ means less than or equal to. < means less than. So its not true.

B: 47 - 2, 45. Then 5 x 9 equals 45. So 5 x 9 equals 45, then add 2 would equal 47.

Hope this helps <3

The inequality 4x − 1 ≤ 19 has less than or equal sign but the inequality 4x − 1 < 19 has only less than sign. The equation 5x + 2 = 47 is satisfied, for x = 9.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

Part A: Explain why x = 5 makes 4x − 1 ≤ 19 true but not 4x − 1 < 19.

The inequality 4x − 1 ≤ 19 is satisfied by 5 because the inequality has less than or equal sign but the inequality 4x − 1 < 19 has only less than sign so for x = 5, the value is equal to 19 which is not true.

Part B: The value from the set {6, 7, 8, 9, 10} makes the equation 5x + 2 = 47 true.

By simplifying the equation, then we have

5x + 2 = 47

     5x = 45

       x = 9

The equation is satisfied, for x = 9.

More about the inequality link is given below.

https://brainly.com/question/19491153

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