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Does (10, 3)(10,\,3) make the inequality x+2y≥7x + 2y \geq 7 true?\newlineChoices:\newline(A)yes\newline(B)no

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Q. Does (10, 3)(10,\,3) make the inequality x+2y≥7x + 2y \geq 7 true?\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute values into inequality: Substitute the values (10,3)(10, 3) into the inequality x+2y≥7x + 2y \geq 7. The substituted inequality is 10+2(3)≥710 + 2(3) \geq 7.
  2. Simplify left side: Simplify the left side of the inequality 10+2(3)10 + 2(3) to find the sum. This simplifies to 10+610 + 6, which equals 1616.
  3. Check if inequality is true: The inequality now reads 16≥716 \geq 7. Determine if this is a true statement. Since 1616 is greater than 77, the inequality holds true.
  4. Verify point satisfies inequality: Since the inequality 16≥716 \geq 7 is true, the point (10,3)(10, 3) does make the inequality x+2y≥7x + 2y \geq 7 true.

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