Question

Which is the graph of linear inequality x-2y2-12?

Answer 1

Answer: guy's the answer is D

Explanation:

Here, the given inequality,x - 2y > -12Since, related equation of the inequality,x - 2y = -12

Answer 2

See attachment for graph.

Explanation:

When graphing inequalities:

• < or > : dashed lines.
• ≤ or ≥ : solid line.
• < or ≤ : shade under the line.
• > or ≥ : shade above the line.

Given inequality:

`x-2y\geq -12`

Rearrange the equation to isolate y:

`\implies x-2y+2y\geq -12+2y`

`\implies x\geq -12+2y`

`\implies x+12\geq -12+2y+12`

`\implies x+12\geq 2y`

`\implies 2y\leq x+12`

`\implies (2y)/(2)\leq (x+12)/(2)`

`\implies y\leq (1)/(2)x+6`

Find two points on the line by substituting two values of x into "y=":

`x=0 \implies y=(1)/(2)(0)+6=0 \implies (0,6)`

`x=8 \implies y=(1)/(2)(8)+6=10 \implies (8,10)`

Plot the points and draw a straight solid line through them.

As the inequality is "y ≤", shade below the line.