SOLUTION: -5<4x+7 and 5x -6< 14

Question 119119: -5<4x+7 and 5x -6< 14
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's solve the first inequality:

Start with the given inequality

Add 5 to both sides

Subtract 4x from both sides

Combine like terms on the right side

Divide both sides by -4 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)

Divide

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Answer:
So our answer is

Now let's solve the second inequality:

Start with the given inequality

Add 6 to both sides

Combine like terms on the right side

Divide both sides by 5 to isolate x

Divide

--------------------------------------------------------------
Answer:
So our answer is

So we have the answers:

and

which forms the compound inequality:

So our answer is
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