MCQ
The solution set of the inequality $3 x+5 y<4$ is
  • A
    an open half-plane not containing the origin.
  • B
    an open half-plane containing the origin.
  • C
    the whole $X Y$-plane not containing the line $3 x+5 y=4$.
  • D
    a closed half plane containing the origin.

Answer

The strict inequality represents an open half plane and it contains the origin, as $(0,0)$ satisfies it.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The inverse of $y=5^{\log x}$ is
The function $\text{f(x)}=\frac{\sin(\text{x}|\text{x}-\pi|)}{4+|\text{x}|^2},$ where[.] denotes the greatest integer function, is:
Maximize $Z=7 x+11 y$, subject to $3 x+5 y \leq 26$, $5 x+3 y \leq 30, x \geq 0, y \geq 0$.
If $\left| {\,\begin{array}{*{20}{c}}{{a_1}}&{{b_1}}&{{c_1}}\\{{a_2}}&{{b_2}}&{{c_2}}\\{{a_3}}&{{b_3}}&{{c_3}}\end{array}\,} \right| = 5$; then the value of $\left| {\,\begin{array}{*{20}{c}}{{b_2}{c_3} - {b_3}{c_2}}&{{c_2}{a_3} - {c_3}{a_2}}&{{a_2}{b_3} - {a_3}{b_2}}\\{{b_3}{c_1} - {b_1}{c_3}}&{{c_3}{a_1} - {c_1}{a_3}}&{{a_3}{b_1} - {a_1}{b_3}}\\{{b_1}{c_2} - {b_2}{c_1}}&{{c_1}{a_2} - {c_2}{a_1}}&{{a_1}{b_2} - {a_2}{b_1}}\end{array}\,} \right|$is
$A, B, C, D $ are any four points, then$\overrightarrow {AB} \,\,.\,\,\overrightarrow {CD} \,\, + \,\overrightarrow {\,BC} \,\,.\,\,\overrightarrow {AD} \,\, + \overrightarrow {CA} \,\,.\,\,\overrightarrow {BD} \,\, = $
Choose the correct answer from the given four option. Integrating factor of $\frac{\text{xd}\text{y}}{\text{d}\text{x}}-\text{y}=\text{x}^4-3\text{x}$ is :
If $A$ and $B$ are two events such that $P(A) = 0.4, P(B) = 0.3$ and $\text{P}(\text{A}\cup\text{B})=0.5,$ then $\text{P}(\overline{\text{B}}\cap\text{A})$ equals.
How much is the area of rectangular field:
The direction ratios of the line $x - y + z - 5 = 0 = x - 3y - 6$ are proportional to:
The objective function $Z = 4x + 3y$ can be maximised subjected to the constraints $3x + 4y \leq 24, 8x + 6y \leq 48, x \leq 5, y \leq 6, x, y \geq 0$