Question

Solve each equation |3x+9|=30 x=7 x= 1, -19 no solution x=7,-13 |2x+1|=-13 no solution x=-7 x=-14, 12 x=-7, 6 |x+2|+4=11 x=5 no solution x=5, -9 x=7,-11

Answer 1

To solve the absolute value equations, isolate the expression inside the absolute value and consider two cases: when it's positive and when it's negative.

Step-by-step explanation:

To solve each equation, we isolate the absolute value expression and consider two cases: when the expression inside the absolute value is positive and when it is negative. For example, for the equation |3x+9|=30, we have:

Case 1: 3x+9=30

Solving this equation, we get x=7.

Case 2: -(3x+9)=30

Solving this equation, we get x=1, -19.

Similarly, we apply this process to all the given equations and obtain their respective solutions.