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Is (1, 10)(1,\ 10) a solution to the inequality y < 5x + 5 ?\newlineChoices:\newline(A)yes\newline(B)no

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Full solution

Q. Is (1, 10)(1,\ 10) a solution to the inequality y<5x+5y < 5x + 5 ?\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute values into inequality: Substitute the values (1,10)(1, 10) into the inequality y < 5x + 5. The substituted inequality is 10 < 5(1) + 5.
  2. Simplify right side: Simplify the right side of the inequality 5(1)+55(1) + 5. This simplifies to 5+55 + 5, which equals 1010.
  3. Determine truth or false: The inequality now reads 10 < 10. Determine if this statement is true or false. Since 1010 is not less than 1010, the statement is false.
  4. Evaluate point in inequality: Since the statement 10 < 10 is false, the point (1,10)(1, 10) does not make the inequality y < 5x + 5 true.

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