SOLUTION: Can someone help me solve and graph this inequality problem?
-21 ≤ 4x +3 and 4x +3 < 23
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Question 460087: Can someone help me solve and graph this inequality problem?
-21 ≤ 4x +3 and 4x +3 < 23
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, solve the inequalities separately.
Let's solve the first inequality
Start with the given inequality.
Add to both sides.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.
Reduce.
So the solution to the first inequality is
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Now let's solve the second inequality
Start with the given inequality.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
So the solution to the second inequality is
===============================================================
So the two solutions are AND
So the question is now: what number(s) fall are BOTH greater than -6 AND less than 5? The answer is any number that satisfies the compound inequality . Basically, I combined the two inequalities above to form the final compound inequality.
So the answer is
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