Solve -4x is less then equal to -16.
I got x is less then equal to 4.
Is this correct I'm kind of confused with this question.
what's wrong with symbols?
-4x <= -16
divide by -4 to get
x >= 4
Another way to avoid multiplying by negative values and worrying about the direction of the inequality, is to make sure all values are positive.
-4x <= -16 -- add 4x to both sides
0 <= 4x-16 -- add 16 to both sides
16 <= 4x
4 <= x
which is the same answer. Multiplying/dividing by a negative value is just a shortcut for moving the item to the opposite side of the inequality.
-4x <= -16
x => 4
To solve the inequality -4x ≤ -16, you need to isolate the variable x. Divide both sides of the inequality by -4, but remember that when dividing by a negative number, you must reverse the inequality sign:
-4x / -4 ≥ -16 / -4
This simplifies to:
x ≥ 4
So the correct solution is x ≥ 4, not x ≤ 4.
To solve the inequality -4x ≤ -16, you need to isolate the variable x. Here's how you can do it step by step:
Step 1: Divide both sides of the inequality by -4 to isolate the variable x. Remember that dividing by a negative number switches the inequality sign, so the inequality symbol will change direction.
(-4x) / -4 ≥ (-16) / -4
Simplifying, you get:
x ≥ 4
When dividing by -4, you also switched the direction of the inequality from "less than or equal to" to "greater than or equal to."
So, the correct solution is x ≥ 4, not x ≤ 4.