solve for x
-5/2 x < - 10
To solve for x, we need to isolate x on one side of the inequality.
To do this, we'll first multiply both sides of the inequality by -2/5 (the reciprocal of -5/2) to get rid of the fraction and to maintain the direction of the inequality:
-5/2 * -2/5 * x > -10 * -2/5
This simplifies to:
1 * x > 4
So the solution is:
x > 4
To solve the inequality -5/2x < -10, we need to isolate the variable x on one side of the inequality sign.
First, let's multiply both sides of the inequality by -2/5 to eliminate the fraction:
(-2/5) * (-5/2x) < (-2/5) * (-10)
This simplifies to:
x > 4
Therefore, the solution to the inequality -5/2x < -10 is x > 4.
To solve the inequality -5/2x < -10, you need to isolate the variable x. Here's the step-by-step guide:
1. Start by multiplying both sides of the inequality by -2/5. Remember, when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign changes.
(-2/5) * (-5/2x) > (-10) * (-2/5)
Simplifying gives:
x > 4
So, the solution to the inequality -5/2x < -10 is x > 4.