For this case we must evaluate [tex]x = 2[/tex] in each of the inequalities and verify if the inequality is met or not:
Option A:
[tex]6x + 20 <29\\6 (2) +20 <29\\12 + 20 <29\\32 <29[/tex]
It is not fulfilled!
Option B:
[tex]7x-10 <11\\7 (2) -10 <11\\14-10 <11\\4 <11[/tex]
Is fulfilled!
Option C:
[tex]14x + 10 <37\\14 (2) +10 <37\\28 + 10 <37\\38 <37[/tex]
It is not fulfilled!
Option D:
[tex]15x-18 <12\\15 (2) -18 <12\\30-18 <12\\12 <12[/tex]
It is not fulfilled!
So, option B is correct, inequality is met
ANswer:
Option B
