Question
Is 0.5x -3y ≤ 6 a linear inequality
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Answered by
GPT-4o mini
Yes, the inequality \( 0.5x - 3y \leq 6 \) is a linear inequality.
A linear inequality can typically be represented in the form \( Ax + By \leq C \), where \( A \), \( B \), and \( C \) are constants, and \( x \) and \( y \) are variables. In this case:
- \( A = 0.5 \)
- \( B = -3 \)
- \( C = 6 \)
Since it involves a linear combination of the variables \( x \) and \( y \) and uses the inequality sign \( \leq \), it qualifies as a linear inequality.
A linear inequality can typically be represented in the form \( Ax + By \leq C \), where \( A \), \( B \), and \( C \) are constants, and \( x \) and \( y \) are variables. In this case:
- \( A = 0.5 \)
- \( B = -3 \)
- \( C = 6 \)
Since it involves a linear combination of the variables \( x \) and \( y \) and uses the inequality sign \( \leq \), it qualifies as a linear inequality.