Question

Solve −12 − 2x < −3x + 2 < −2(x − 7). 14 over 5 < x < negative 12 over 5 −12 < x < 14 14 < x < −12 12 over 5 > x > negative 14 over 5

Answer 1

$-12-2x < -3x+2 < -2(x-7)\\\\-12-2x < -3x+2 < -2x+14\ \ \ \ |+2x\\\\-12 < -x+2 < 14\ \ \ \ |-2\\\\-14 < -x < 12\ \ \ \ |\text{change the signs}\\\\14 > x > -12$