can you give me step by step instructions on how to resovle this inequality 7(-2x+3)_>-7

Question

  can you give me step by step instructions on how to resovle this inequality 7(-2x+3)_>-7

Answer 1

7(-2x+3) ≥ -7

 

First distribute (multiply) the 7 across the terms within the parentheses:

 

7(-2x+3) ≥ -7

 

7*(-2x) + 7*(3) ≥ -7

 

-14x + 21 ≥ -7

 

Next, subtract 21 from both sides:

 

-14x ≥ -28

 

Divide by -14.  When you multiply or divide an inequality by a negative number, you have to flip the inequality sign, in this case from ≥ to ≤

 

x ≤ 2

 

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