Let's solve each inequality separately.
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For the inequality \( 2x < 15 \):
Divide both sides by 2: \[ x < \frac{15}{2} \] Simplifying the right-hand side gives: \[ x < 7.5 \]
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For the inequality \( -2y < 15 \):
Divide both sides by -2. Remember that when you divide or multiply by a negative number, you must flip the inequality sign: \[ y > \frac{15}{-2} \] Simplifying the right-hand side gives: \[ y > -7.5 \]
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For the inequality \( 2x < -15 \):
Divide both sides by 2: \[ x < \frac{-15}{2} \] Simplifying the right-hand side gives: \[ x < -7.5 \]
Summary of Solutions:
- \( x < 7.5 \)
- \( y > -7.5 \)
- \( x < -7.5 \)
These inequalities describe the ranges of values for \( x \) and \( y \).