Solve 4(x - 3) - 2(x - 1) > 0. A. {x | x < -5}
B. {x | x > -5}
C. {x | x > 5}
D. {x | x < 5}

Apply the distributive property.

4

x

+

4

⋅

−

3

−

2

(

x

−

1

)

>

0

Multiply

4

by

−

3

.

4

x

−

12

−

2

(

x

−

1

)

>

0

Apply the distributive property.

4

x

−

12

−

2

x

−

2

⋅

−

1

>

0

Multiply

−

2

by

−

1

.

4

x

−

12

−

2

x

+

2

>

0

Given:- 4(x - 3) - 2(x - 1) > 0.

Solving It:-

4(x - 3) - 2(x - 1) > 0

4x - 12 - 2x + 2 > 0

2x -10 > 0

2x > 10

x > 10/2

x > 5