Question
Download Solution PDFThe shaded region in the figure is the solution set of the inequations
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The intercept form of the line is given by: \(\rm \frac{x}{a}+\frac{y}{b}=1\)
Where a is the x-intercept and b is the y-intercept
Important Points:
- Make it a solid line for ≤ or ≥, and a dashed line for < or >
- If the equation is given in form of > or ≥ then shaded area must be above the line (Away from the origin).
- If the equation is given in form of < or ≤ then shaded area must be below the line (Toward origin).
Calculation:
Equation of line AB: \(\rm \frac{x}{5}+\frac{y}{4} = 1 \Rightarrow 4x+5y =20\)
Equation of line CD: \(\rm \frac{x}{10}+\frac{y}{3} = 1 \Rightarrow 3x+10y =30\)
Equation of line EF: x = 6
Here we can see the shaded area above the line AB, Below the line CD and Left of line EF
∴ 4x + 5y ≥ 20 , 3x + 10y ≤ 30, x ≤ 6, x, y ≥ 0
Last updated on Jun 11, 2025
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