Mister Exam

10t−14≥0 inequation

A inequation with variable

The solution

You have entered [src]
10*t - 14 >= 0
$$10 t - 14 \geq 0$$
10*t - 14 >= 0
Detail solution
Given the inequality:
$$10 t - 14 \geq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$10 t - 14 = 0$$
Solve:
$$x_{1} = 1.4$$
$$x_{1} = 1.4$$
This roots
$$x_{1} = 1.4$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} \leq x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 1.4$$
=
$$1.3$$
substitute to the expression
$$10 t - 14 \geq 0$$
$$10 t - 14 \geq 0$$
-14 + 10*t >= 0

Then
$$x \leq 1.4$$
no execute
the solution of our inequality is:
$$x \geq 1.4$$
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Rapid solution 2 [src]
[7/5, oo)
$$x\ in\ \left[\frac{7}{5}, \infty\right)$$
x in Interval(7/5, oo)
Rapid solution [src]
And(7/5 <= t, t < oo)
$$\frac{7}{5} \leq t \wedge t < \infty$$
(7/5 <= t)∧(t < oo)