When y is less than or equal to 2x-6
x is greater than or equal to 6
-2 - 2x is greater than or equal to 6 only if x is less than or equal to -4.
2x2 + 2x - 8 = 2(x2 + x - 4). This can take any value greater than or equal to -8.5
They are all the points on or above the line [ y = -2x + 20 ]. There are a lot of them.
When y is less than or equal to 2x-6
x is greater than or equal to 6
-2 - 2x is greater than or equal to 6 only if x is less than or equal to -4.
2x2 + 2x - 8 = 2(x2 + x - 4). This can take any value greater than or equal to -8.5
56
x < 3
5 + 2x ≥ 13 Subtract 5 from both sides: 2x ≥ 8 Divide both sides by 2: x ≥ 4
2x + 1 is equal to or less than 13.
They are all the points on or above the line [ y = -2x + 20 ]. There are a lot of them.
x < -26.
5x + 4
-2x + 6 <= 4x + 18 -2x <= 4x + 12 -12 <= 6x -2 <= x