Question

Choose the missing step in the given solution to the inequality -2x-14>-4+3x

Answer 1

Answer:

$x$

Step-by-step explanation:

The given inequality is

$-2x-14>-4+3x$

We need to solve the above inequality.

Step 1: Given inequality.

$-2x-14>-4+3x$

Step 2: Add 14 on both sides.

$-2x-14+14>-4+3x+14$

$-2x>10+3x$

Step 3: Subtract 3x from both sides.

$-2x-3x>10+3x-3x$

$-5x>10$

Step 4: Divide both sides by -5. If an inequality is multiplied or divided by a negative number then the sign of inequality will change.

$\frac{-5x}{-5}$  

$x$

Therefore, the solution of given inequality is $x$.

Answer 2

Answer:

$x \in (-\infty, -2)$            

Step-by-step explanation:

We have to find the solution of the given inequality.

$-2x - 14 > -4 + 3x$

The following steps can be followed to find the solution of the given inequality:

$-2x - 14 > -4 + 3x\\-2x -3x-14 > -4 +3x-3x\\-5x -14 > -4\\-5x -14 +14 > -4 + 14\\-5x > 10\\x < -2\\\text{In interval notation, we can write}\\x \in (-\infty, -2)$

x < -2 is the solution of the given inequality.