Question

solve the linear inequality and write the solution in set builder notation
7x-42<7

Answer 1

x<7

Answer 2

? how does x < 7 if there is -42 in the equation

Answer 3

Please apply algebra, rather than just guessing.

7x - 42 < 7

Add 42

7x - 42 + 42 < 7 + 42
7x - 0 < 49
7x < 49

Divide by 7

7x/7 < 49/7
(7/7)x < 7
(1)x < 7
x < 7

Really, it does not matter what you THINK the result should be or how you feel it should appear. Let's learn the mathematics and MAKE it what it is.