Question

PLEASE PLEASE HELP!!!!! Solve for X

Answer 1

B. x<4

Explanation:

To solve for x, isolate it on one side of the equation.

Use a distributive property.

a(b+c)=ab+ac

a(b-c)=ab-ac

2(x-14)

2*x=2x

2*14=28

=2x-28

-5x>2x-28

Subtract by 2x from both sides.

-5x-2x>2x-28-2x

Solve.

-7x>-28

Multiply by -1 from both sides.

`\sf{\left(-7x\right)\left(-1\right) < \left(-28\right)\left(-1\right)}`

Solve.

-7x*-1=7x

-28*-1=28

7x<28

Divide by 7 from both sides.

7x/7<28/7

Solve.

Divide these numbers from left to right.

28/7=4

`\Rightarrow \boxed{\sf{x < 4}}`

Therefore, the final answer is b. x<4.

I hope this helps, let me know if you have any questions.

Answer 2

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x > 2(x-14) } \end{gathered}$}}`

Use distributive property to multiply 2 by x−14.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x > 2x-28 } \end{gathered}$}}`

Subtract 2x on both sides.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x-2x > -28 } \end{gathered}$}}`

Combine −5x and −2x to get −7x.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-7x > -28 } \end{gathered}$}}`

Divide both sides by −7. Since −7 is <0, the direction of inequality is changed.

`\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x < (-28)/(-7) } \end{gathered}$}}`

Divide −28 between −7 to get 4.

`\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x < 4 } \end{gathered}$}}}`

The answer is x <4, the correct option is B.