Question

y(greater than or equal) 2x=4 and identify a point that satisfies this inequality but does not satisfy y>2x+4

Answer 1

y => 2x = 4 does not make sense, and is not an expression nor equation.

Answer 2

Should it be 2x + 4 instead of 2x = 4?

Answer 3

y ≥ 2x = 4 doesn't make sense. I think you mean to have ±

Answer 4

The world may never know.

Answer 5

^

Answer 6

@msumner Is it supposed to be: \[\Large y \ge 2x + 4\]

Answer 7

Im sorry i meant +4

Answer 8

Pick any point on the line y = 2x + 4. It will satisfy the inequality y >= 2x + 4
but not y > 2x + 4

Answer 9

Ranga i think you have a typo there :p

Answer 10

(0,0) is what they told me to pick most of the time

Answer 11

That's to check the origin, weather or not to shade it

Answer 12

What is the typo you were referring to?

Answer 13

y = 2x+ 4

Answer 14

Yes. Any point chosen on the line y = 2x + 4 will satisfy the the inequality y >= 2x + 4 but not y > 2x + 4.

For example pick x = 5, then y = (2)(5) + 4 = 14
The point (5,14) satisfies y >= 2x + 4 but not y > 2x + 4

Answer 15

would the points (1,6) fit

Answer 16

Yes. (1,6) is another point that satisfies y >= 2x + 4 but not y > 2x + 4.

Answer 17

To graph the inequality y >= 2x + 4 you will first draw the line y = 2x + 4. The line will be a continuous line because all points on the line will satisfy the inequality too because of the equal to in >=. You will shade the region above the line.

To graph the inequality y > 2x + 4 you will first draw the line y = 2x + 4. The line will be a dashed line because all points on the line are not included and you will shade the region above the line.

The difference between these two solution sets is the former includes all points on the line whereas the latter excludes it.

Therefore, all points on the line y = 2x + 4 will satisfy y >= 2x + 4 but not y > 2x + 4