1. solve for x
2(-3x+1) < -5x+14

2. -2(3x+15) less than or equal to 42

For your first question, the solution is x> -12

Step-by-step explanation:

First, expand 2(-3x+1), writing it as -6x+2

Next, subtract both sides by 2;

-6x + 2 - 2 < -5x + 14 - 2

Then, we simplify;

-6x < -5x + 12

Next, add both sides to 5x;

-6x + 5x < -5x + 12 + 5x

Simplify;

-x<12

Then, multiply both sides by -1, using reverse of inequality;

(-x)(-1)>12(-1)

Finally, simplify;

x>-12

The answer to your second question is x is greater than or equal to -12.

Step-by-step explanation:

First, multiply both sides by -1, reversing the inequality;

(-2(3x+15))(-1) greater than or equal to 42(-1)

Next, simplify;

2(3x+15) greater than or equal to -42

Then, divide 2 from both sides;

2(3x+15/2 greater than or equal to -42/2

Next, simplify;

3x + 15 greater than or equal to -21

Then, we subtract both sides by 15;

3x+15-15 greater than or equal to -21-15

Simplify;

3x greater than or equal to -36

Next, divide 3 from both sides;

3x/3 greater than or equal to -36/3

Finally, simplify;

x greater than or equal to -12

I hope we helped you answer your question.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3