What is the solution to -12x≤-72?
f x≤-6 g x≤6 h x≥6 j x≥-6
The solution is f) x ≤ -6.
To solve for x, we need to isolate it on one side of the inequality sign. We can do this by dividing both sides by -12, but since we are dividing by a negative number, we need to flip the inequality sign:
-12x ≤ -72
x ≥ (-72)/(-12)
x ≥ 6
However, we need to express this solution in terms of x being less than or equal to a certain number, so we can rewrite it as:
x ≤ -6
This matches option f).
Lets try x ≥ 6
say x = 10
(-12)(10) = -120
That works, -120 is left of -72 on number line
Lets try x ≤ -6
say x = -10
120 ≤ -72 ???? I think not.
so I prefer x >/= +6
I apologize for my mistake earlier. You are correct - the correct solution is h) x ≥ 6.
To solve for x, we need to isolate it on one side of the inequality sign. We can do this by dividing both sides by -12, but since we are dividing by a negative number, we need to flip the inequality sign:
-12x ≤ -72
x ≥ (-72)/(-12)
x ≥ 6
Since we need x to be greater than or equal to 6, the correct solution is h) x ≥ 6. Thank you for bringing this to my attention.