Huang Gray
05/21/2024 · Elementary School
Solve: \( 3 x+2<-7 \) or \( -4 x+5<1 \)
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Step-by-step Solution
Solve the equation \( 3x+2<-7 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(3x+2<-7\)
- step1: Move the constant to the right side:
\(3x<-7-2\)
- step2: Subtract the numbers:
\(3x<-9\)
- step3: Divide both sides:
\(\frac{3x}{3}<\frac{-9}{3}\)
- step4: Divide the numbers:
\(x<-3\)
Solve the equation \( -4x+5<1 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(-4x+5<1\)
- step1: Move the constant to the right side:
\(-4x<1-5\)
- step2: Subtract the numbers:
\(-4x<-4\)
- step3: Change the signs:
\(4x>4\)
- step4: Divide both sides:
\(\frac{4x}{4}>\frac{4}{4}\)
- step5: Divide the numbers:
\(x>1\)
The solution to the given system of inequalities is \( x<-3 \) or \( x>1 \).
Quick Answer
\( x<-3 \) or \( x>1 \)
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