solve the equation if possible and solve and check the inequality

Question

Q1: -3|6n-2|+5=8

 

|Q2: 8m+4|<12

Answer 1

⌈ ⌉ - these are going to be absolute value signs

-3⌈6n-2⌉ + 5 = 8

-3⌈6n-2⌉ = 3

⌈6n-2⌉ = -1  Absolute value can't = a negative #.

 

⌈8m+4⌉ < 12

-12 < 8m + 4 < 12

-16 < 8m < 8

-2 < m < 1