Question

pICTURE bLOW

2x + y < -7

2x - y > 7

2x + y < 7

The correct inequality is not listed

Answer 1

If we observe the line it passes through x=3.5 when y=0
and when x=0, the line cuts the y axis at 7
so x intercept is 3.5 and y intercept is 7
Equation of a line with x intercept a and y intercept b
\[\frac{x}{a}+\frac{y}{b}=1\]
so
The equation for the given line
\[\frac{x}{3.5}+\frac{y}{7}=1\]
multiply both sides by 7
we get
\[2x+y=7\]
now We need to find the inequality for the shaded region
Let's assume the inequality as
\[2x+y>7\]
in the shaded region 0,0 is a point, let's check if it satisfies this
\[0+0>7\]
this is false so
the answer is
\[2x+y<7\]

Answer 2

ok thanks ash =)

Answer 3

@Jada12345 did you understand it?

Answer 4

yes i did