Question

if the replacement set is the set of natural numbers, then find the largest value in the solution set of 5 x − 4 < 2 x + 23 < 4 x + 15

Answer 1

Answer:

$x \: belongs \: to \: \: \: \: (4 \: \: \: \: \: \: \: 9).$

Step-by-step explanation:

$5x - 4 < 2x + 23 < 4x + 15 \\ 5x - 4 - 23 < 2x < 4x + 15 - 23 \\ \\ 5x - 27 < 2x < 4x - 8 \\ \\ 5x - 27 < 2x \: \: \: \: \: \: \: \: \: \: \: \: 2x < 4x - 8 \\ \\ 3x < 27 \: \: \: \: \: \: \: \: \: \: - 2x < - 8 \\ \\ x < 9 \: \: \: \: \: \: \: \: \: \: x > 4 \\ \\ x \: belongs \: to \: \: \: \: (4 \: \: \: \: \: \: \: 9).$