Question

Could someone help me with these two questions?

The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is
AnswerS:
(-1,6)
(-Infinity,infinity)
set as empty
(6,-1)

The range of all real numbers x such that 2x − 5 < 7 or 4x + 10 > 6 is
Answers:
(-1,6)
(-Infinity,infinity)
set as empty
(6,-1)

Answer 1

B) (-infinity, infinity) , is the answer.

2x-5<7
You can plug in any value of x, to the inequality, starting from minus infinity up to positive 5, and gives back an answer less than 7.

4x+10>6
You can plug in any values of x to the inequality, starting from 0 up to plus infinity, and gives back an answer more than 6.

Answer 2

Thank you so much for your help!!(: @rhr12