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3x+8=14,X=2 write in inverse statement?


2 Answers

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Final answer:

The inverse statement of the equation '3x + 8 = 14' with 'X = 2' is that if 'x' does not equal '2', then the equation is not satisfied.

Step-by-step explanation:

The question asks for an inverse statement of the equation '3x + 8 = 14' given that 'X = 2'. An inverse statement, in this context, would involve solving the equation for 'X' and expressing the value of 'X' when the equation is not satisfied.

To create an inverse statement, you would first subtract '8' from both sides of the equation:

  • 3x + 8 - 8 = 14 - 8
  • 3x = 6

Then divide both sides by '3' to solve for 'x':

  • 3x / 3 = 6 / 3
  • x = 2

The inverse statement would then be: If 'x' does not equal '2', the equation '3x + 8 = 14' is not satisfied.

answered
User Phil Hudson
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10 votes

Answer:

Statement is - 3x + 8 = 14, x = 2

Let P - 3x + 8 = 14 , Q - x = 2

Conditional statement is -If 3x + 8 = 14 , then x = 2.

Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.

Converse statement - If x = 2 , then 3x + 8 = 14

Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14

answered
User Jaor
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8.4k points

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