Answer:
x < 15
Step-by-step explanation:
Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".
On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:
-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24
On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:
-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30
Now put these back in:
-6(x + 4) + 9 > -5(x + 6)
-6x - 24 + 9 > -5x - 30
-6x - 15 > -5x - 30
x < 15
Thus the answer is x < 15.
Hope this helps!
Answer:
x= x ≥ 2 or x ≤ -2
Step-by-step explanation:
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6?
Parallel, slope is the same, perpendicular slope is opposite and reciprocal
so
line n, with slope −6 , same slope -----> Parallel
line p, with slope 1/6 , opposite and reciprocal -----> Perpendicular
line q, with slope −1/6 , -----> Neither
line m, with slope 6, -----> Neither