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artcher [175]
3 years ago
12

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

Mathematics
1 answer:
nydimaria [60]3 years ago
4 0
<h2>Steps</h2>

7x - 4 < 4 ( x + 3 )

Let's start with this part of the inequality: 4 ( x + 3 )

Apply the distributive law: <u>a ( b + c ) = ab + ac</u>

<u>a = 4, b = x, c = 3</u>

= 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)

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