What is the solution to this inequality? 7x-4< 4 (x+3)

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)

29 mil

step-by-step explanation:

is means division by fractions

step-by-step explanation: