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Is (4,3)(4,\,3) a solution to this system of inequalities?\newline4x+y194x + y \geq 19\newline12x+15y1412x + 15y \geq 14\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (4,3)(4,\,3) a solution to this system of inequalities?\newline4x+y194x + y \geq 19\newline12x+15y1412x + 15y \geq 14\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (4,3)(4, 3): Does the point (4,3)(4, 3) satisfy the inequality 4x+y194x + y \geq 19?\newlineSubstitute x=4x = 4 and y=3y = 3 into the inequality 4x+y194x + y \geq 19.\newline4(4)+3194(4) + 3 \geq 19\newline16+31916 + 3 \geq 19\newline191919 \geq 19\newlineThe point (4,3)(4, 3) satisfies the inequality 4x+y194x + y \geq 19.
  2. Check Point (4,3)(4, 3): Does the point (4,3)(4, 3) satisfy the inequality 12x+15y1412x + 15y \geq 14?\newlineSubstitute x=4x = 4 and y=3y = 3 into the inequality 12x+15y1412x + 15y \geq 14.\newline12(4)+15(3)1412(4) + 15(3) \geq 14\newline48+451448 + 45 \geq 14\newline931493 \geq 14\newlineThe point (4,3)(4, 3) satisfies the inequality 12x+15y1412x + 15y \geq 14.
  3. Solution Verification: Is (4,3)(4, 3) a solution to the system of inequalities?\newlineSince (4,3)(4, 3) satisfies both inequalities 4x+y194x + y \geq 19 and 12x+15y1412x + 15y \geq 14, it is a solution to the system of inequalities.

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