Please solve the following inequality

4w - 7 < 9

show work please!

4w - 7 < 9

Add 7 to both sides

4w < 16

Divide both sides by 4


w < 4 is the answer

Every lines are equivalent:
4w < 9 + 7
4w < 16
w < 16/4 you can divide keeping the same order because 4 is positive
w < 4

4w-7 < 9

Add 7 to both sides:
4w-7+7 < 9+7
4w < 16

Divide both sides by 4:
4w/4 < 16/4
w < 4

Answer: w<4

4w - 7 < 9

Add 7 to both sides:

4w < 16

Divide both sides by 4:

w < 4

if your teacher is looking for set builder notation:
{w|w<9}

4w< 16
w < 16/4
w < 4

4w < 16
w < 4