Solve the given inequalities graphically-2x - y -geq- 6 and 3x - 4y -leq- 12

Question

Toppr Admin · Accepted Answer

Given equations are 2x-y-x2265-6-x21D2-y-6-x2212-2xand 3x-4y-x2264-12-x21D2-y-12-x2212-3x4Let f-x-6-x2212-2xand g-x-12-x2212-3x4Intersection of this two lines is shown in figure-Region is shown in the graph-

Solve the given inequalities graphically:
$2 x + y$ $\geq$ $6$ and $3 x + 4 y$ $\leq$ $12$

Given equations are $2 x + y \geq 6 \Rightarrow y = 6 - 2 x$
and $3 x + 4 y \leq 12 \Rightarrow y = \frac{12 - 3 x}{4}$
Let $f (x) = 6 - 2 x$
and $g (x) = \frac{12 - 3 x}{4}$
Intersection of this two lines is shown in figure.
Region is shown in the graph.

Solve the given inequalities graphically:2x+y ≥ 6 and 3x+4y ≤ 12

Given equations are 2x+y≥6⇒y=6−2xand 3x+4y≤12⇒y=12−3x4Let f(x)=6−2xand g(x)=12−3x4Intersection of this two lines is shown in figure.Region is shown in the graph.

Solve the given inequalities graphically:
$2 x + y$ $\geq$ $6$ and $3 x + 4 y$ $\leq$ $12$

Given equations are $2 x + y \geq 6 \Rightarrow y = 6 - 2 x$
and $3 x + 4 y \leq 12 \Rightarrow y = \frac{12 - 3 x}{4}$
Let $f (x) = 6 - 2 x$
and $g (x) = \frac{12 - 3 x}{4}$
Intersection of this two lines is shown in figure.
Region is shown in the graph.