-7x - 4 > 6x - 8
Write in interval notation
To write the inequality in interval notation, we first need to solve it:
-7x - 4 > 6x - 8
Adding 7x to both sides:
-4 > 13x - 8
Adding 8 to both sides:
4 > 13x
Dividing both sides by 13 (and reversing the inequality because we are dividing by a negative number):
x < 4/13
So the solution is x is less than 4/13.
This can be written in interval notation as (-∞, 4/13).
To write the given inequality in interval notation, we first need to solve it for x.
-7x - 4 > 6x - 8
To isolate the variable x, we can add 7x to both sides of the equation:
-7x + 7x - 4 > 6x + 7x - 8
Simplifying this equation gives:
-4 > 13x - 8
Next, we can add 8 to both sides of the equation:
-4 + 8 > 13x - 8 + 8
Simplifying further gives:
4 > 13x
Finally, we can divide both sides of the equation by 13 to solve for x:
4/13 > x
Now, we can write the inequality in interval notation:
The interval representing the solution is (4/13, ∞)
To write the inequality in interval notation, we first need to solve it for x. Let's go step by step.
Given inequality:
-7x - 4 > 6x - 8
Let's start by getting all the x terms on one side of the inequality and the constant terms on the other side. We can do this by adding 7x to both sides and adding 4 to both sides:
-7x - 4 + 7x + 4 > 6x - 8 + 7x + 4
Simplifying this, we get:
0 > 13x - 4
Next, let's isolate the x term by subtracting 13x from both sides:
0 - 13x > 13x - 4 - 13x
Simplifying this, we get:
-13x > -4
Now, we need to solve for x. To do this, we divide both sides of the inequality by -13. Since we are dividing by a negative number, we need to reverse the inequality sign:
-13x / -13 < -4 / -13
Simplifying this, we get:
x < 4/13
Now, we can express the solution in interval notation. Since the inequality is "<" (less than), and the solution is x < 4/13, we write the solution as an open interval:
(-∞, 4/13)