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{:[Y < R < X],[X=2Y]:}

Y<R<XX=2Y \begin{array}{l}Y<R<X \\ X=2 Y\end{array}

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Is (x, y) a solution to the system of equations?right chevron icon

Full solution

Q. Y<R<XX=2Y \begin{array}{l}Y<R<X \\ X=2 Y\end{array}
  1. First Inequality Explanation: The first inequality states that YY is less than RR, which means RR must be greater than YY.
  2. Second Inequality Explanation: The second inequality states that RR is less than XX, which means XX must be greater than RR.
  3. Equation Relationship: The equation X=2YX = 2Y tells us that XX is twice the value of YY.
  4. Combining Information: Combining the information from the inequalities and the equation, we can deduce that YY is the smallest value, RR is in the middle, and XX is the largest value.
  5. Illustration with Numbers: To illustrate this with numbers, let's assume Y=1Y = 1. According to the equation X=2YX = 2Y, XX would then be 2×1=22 \times 1 = 2.
  6. Example Selection: Since Y<RY < R and YY is 11, RR must be greater than 11. Let's choose R=1.5R = 1.5 as an example.
  7. Final Values: Now we have Y=1Y = 1, R=1.5R = 1.5, and X=2X = 2. This satisfies all the given inequalities and the equation.

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