Question

Solve for x: 2|x − 3| + 1 = 7 (5 points) x = 0, x = 6 x = −1, x = 6 x = 0, x = 9 No solutions

Answer 1

2|x-3|+1=7
2|x-3|=6
|x-3|=3

x-3 = 3 or x-3 = -3
x=0 or 6

Answer 2

1. x>-2 distribute the three and get 3x+6>0 subtract the 6 to get 3x>-6 then divide by 2 to get -2.

2.x>6 distribute 8 to get 8x+8 and distribute 7 to get 7x+14. Subtract over the 8 to get 8x>7x+6 then subtract over 7x to get x>6

3.distribute the 9 and the 4 to get 9x-27<4x+40 add over the 27 and get 9x<4x+67 subtract over the 4x to get 5x<67 divide by 5 and get x<67/5

4. distribute the 3 and the 2 to get 3x+3 + 2x+4>0  add together the like terms 3x+2x=5x and 3+4=7 to get 5x+7>0 subtract over the seven to get 5x>-7 and then divide by 5 to get x>-7/5            5. first add over -7 to get -9x/11<2. after that multiply by 11 to get -9x<22 then divide by -9 (MAKE SURE YOU FLIP THE INEQUALITY SIGN WHEN MULTIPLYING OR DIVIDING BY A NEGATIVE LIKE -9 IN THIS CASE) you get x>-22/9                      6. Add over the 5 to get 3x<9 divide by 3 and get x