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KengaRu [80]
3 years ago
8

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

Mathematics
2 answers:
Komok [63]3 years ago
6 0

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.

madreJ [45]3 years ago
4 0

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.

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