7x - 4 < 4 ( x + 3 )
Let's start with this part of the inequality: 4 ( x + 3 )
Apply the distributive law: a ( b + c ) = ab + ac
a = 4, b = x, c = 3
= 4x + 4 x 3
Multiply the numbers: 4 x 3 = 12
= 4x + 12
Plug in the values:
7x - 4 < 4x + 12
Add 4 to both sides
7x - 4 + 4 < 4x + 12 + 4
Simplify
7x < 4x + 16
Subtract 4x from both sides
7x - 4x < 4x + 16 - 4x
Simplify
3x < 16
Divide both sides by 3
3x / 3 < 16 / 3
Answers:
x < 16 / 3 or...
x < 5.33(repeating)
