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Which number line represents the solution set for the inequality -4(x + 3) <= -2 - 2x?

 

 Feb 21, 2021
 #1
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-4(x + 3)  ≤ -2  - 2x

 

-4x - 12 ≤  -2  -2x      

 

-4x + 2x  ≤  -2  + 12

 

-2x  ≤  10         divide  both sides  by -2, reverse the inequality  sign since we're dividing by a negative

 

x ≥  10   / -2

 

x ≥   - 5    {first  number line  shown }

 

cool cool cool

 Feb 21, 2021

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