I stumbled upon this question: "Rewrite |5x+7| < 10 as double inequality".

My attempt:

5x+7 < 10 and (-5x+7)<10

5x < 3 and -5x<17

x <3/5 and x>17/ 5

Is that the solution? The given options are :

a. -10> 5x +7 >10

b. -10< 5x+7<10

c. -10 < 5x+7>10

d. 0<5x+7<10

(I know c and a are wrong because of the direction of the greater than sign. To me b. seems right)