Answer:
So, for x = -1, any y value less than or equal to -10 will satisfy the inequality. For example, (-1, -11), (-1, -12), or (-1, -15) are all solutions.
Solution
Let's start by choosing a value for x and solving for y:
1. Let x = 0:
y - 4(0) ≤ -6
y ≤ -6
So, for x = 0, any y value less than or equal to -6 will satisfy the inequality. For example, (0, -7), (0, -8), or (0, -10) are all solutions.
2. Let x = 1:
y - 4(1) ≤ -6
y - 4 ≤ -6
y ≤ -2
So, for x = 1, any y value less than or equal to -2 will satisfy the inequality. For example, (1, -3), (1, -4), or (1, -5) are all solutions.
3. Let x = -1:
y - 4(-1) ≤ -6
y + 4 ≤ -6
y ≤ -10
So, for x = -1, any y value less than or equal to -10 will satisfy the inequality. For example, (-1, -11), (-1, -12), or (-1, -15) are all solutions.