Question
Find the solution set of inequalities 0 ≤ x ≤ 5, 0 ≤ 2y ≤ 7
✓
Answer
Given inequalities: $0 \leq x \leq 5,0 \leq 2 y \leq 7$
Corresponding equality: $x \quad 5, y=\frac{7}{2}, x=0$......(i.e., $Y$-axis) and $y=0 \quad$......(i.e., $X$-axis)
Note that $0 \leq 5$ and $0 \leq \frac{7}{2}$
$\therefore$ Solution set have line $x=5$ parallel to $Y$-axis passing through the point $(5,0)$, line $y=\frac{7}{2}$ parallel to $X$-axis passing through $\left(0, \frac{7}{2}\right)$, and origin side of both the lines.
Also, $x \geq 0$ and $y \geq 0$ represent $1^{\text {st }}$ quadrant
The shaded portion represents the graphical solution.
Corresponding equality: $x \quad 5, y=\frac{7}{2}, x=0$......(i.e., $Y$-axis) and $y=0 \quad$......(i.e., $X$-axis)
Note that $0 \leq 5$ and $0 \leq \frac{7}{2}$
$\therefore$ Solution set have line $x=5$ parallel to $Y$-axis passing through the point $(5,0)$, line $y=\frac{7}{2}$ parallel to $X$-axis passing through $\left(0, \frac{7}{2}\right)$, and origin side of both the lines.
Also, $x \geq 0$ and $y \geq 0$ represent $1^{\text {st }}$ quadrant
The shaded portion represents the graphical solution.
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