Mister Exam

Other calculators

-4t<13 inequation

A inequation with variable

The solution

You have entered [src]
-4*t < 13
$$- 4 t < 13$$
-4*t < 13
Detail solution
Given the inequality:
$$- 4 t < 13$$
To solve this inequality, we must first solve the corresponding equation:
$$- 4 t = 13$$
Solve:
$$x_{1} = -3.25$$
$$x_{1} = -3.25$$
This roots
$$x_{1} = -3.25$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$-3.25 + - \frac{1}{10}$$
=
$$-3.35$$
substitute to the expression
$$- 4 t < 13$$
$$- 4 t < 13$$
-4*t < 13

Then
$$x < -3.25$$
no execute
the solution of our inequality is:
$$x > -3.25$$
         _____  
        /
-------ο-------
       x1
Rapid solution [src]
And(-13/4 < t, t < oo)
$$- \frac{13}{4} < t \wedge t < \infty$$
(-13/4 < t)∧(t < oo)
Rapid solution 2 [src]
(-13/4, oo)
$$x\ in\ \left(- \frac{13}{4}, \infty\right)$$
x in Interval.open(-13/4, oo)