Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- 1/2^x^2+x-2<4^(x-1)
- 25^((1/x-1))-4*5^((1/x)-1)-5=>0
- (|105|)<x
- 1/cbrt(x*(x-11))>0
- Derivative of:
-
-2*z
-
Identical expressions
- - two *z>= seven
- minus 2 multiply by z greater than or equal to 7
- minus two multiply by z greater than or equal to seven
- -2z>=7
-
Similar expressions
- 2(3-2z)+3(2-z)<40
- -2z>9
- 49-3(3-2z)<_1-4z
- 2*z>=7
-2*z>=7 inequation
The solution
Detail solution
Given the inequality:
$$- 2 z \geq 7$$
To solve this inequality, we must first solve the corresponding equation:
$$- 2 z = 7$$
Solve:
$$x_{1} = -3.5$$
$$x_{1} = -3.5$$
This roots
$$x_{1} = -3.5$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$-3.5 + - \frac{1}{10}$$
=
$$-3.6$$
substitute to the expression
$$- 2 z \geq 7$$
$$- 2 z \geq 7$$
Then
$$x \leq -3.5$$
no execute
the solution of our inequality is:
$$x \geq -3.5$$
$$- 2 z \geq 7$$
To solve this inequality, we must first solve the corresponding equation:
$$- 2 z = 7$$
Solve:
$$x_{1} = -3.5$$
$$x_{1} = -3.5$$
This roots
$$x_{1} = -3.5$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$-3.5 + - \frac{1}{10}$$
=
$$-3.6$$
substitute to the expression
$$- 2 z \geq 7$$
$$- 2 z \geq 7$$
-2*z >= 7
Then
$$x \leq -3.5$$
no execute
the solution of our inequality is:
$$x \geq -3.5$$
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x1
Rapid solution
[src]
And(z <= -7/2, -oo < z)
$$z \leq - \frac{7}{2} \wedge -\infty < z$$
(z <= -7/2)∧(-oo < z)
Rapid solution 2
[src]
(-oo, -7/2]
$$x\ in\ \left(-\infty, - \frac{7}{2}\right]$$
x in Interval(-oo, -7/2)