Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- (29/2)x-3>9x+8
- (1/(x-1))-(1/(x-2))=>(1/(x+1))-(1/(x+2))
- (x^2(x+2))/(2x+3)<=0
- 7x<-3
- Integral of d{x}:
-
7x
-
-3
- Canonical form:
- 7x
- Derivative of:
-
7x
-
-3
- Sum of series:
-
-3
-
Identical expressions
- 7x<- three
- 7x less than minus 3
- 7x less than minus three
-
Similar expressions
- 7x<+3
- (18-5x)log9x-7(x2-6x+10)<=0
- x^2-2*x-2*1/x^2-2*x+7*x-19*1/x-3-8*x+1*1/x<=0
7x<-3 inequation
The solution
Detail solution
Given the inequality:
$$7 x < -3$$
To solve this inequality, we must first solve the corresponding equation:
$$7 x = -3$$
Solve:
Given the linear equation:
Divide both parts of the equation by 7
$$x_{1} = - \frac{3}{7}$$
$$x_{1} = - \frac{3}{7}$$
This roots
$$x_{1} = - \frac{3}{7}$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{3}{7} + - \frac{1}{10}$$
=
$$- \frac{37}{70}$$
substitute to the expression
$$7 x < -3$$
$$\frac{\left(-37\right) 7}{70} < -3$$
the solution of our inequality is:
$$x < - \frac{3}{7}$$
$$7 x < -3$$
To solve this inequality, we must first solve the corresponding equation:
$$7 x = -3$$
Solve:
Given the linear equation:
7*x = -3
Divide both parts of the equation by 7
x = -3 / (7)
$$x_{1} = - \frac{3}{7}$$
$$x_{1} = - \frac{3}{7}$$
This roots
$$x_{1} = - \frac{3}{7}$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{3}{7} + - \frac{1}{10}$$
=
$$- \frac{37}{70}$$
substitute to the expression
$$7 x < -3$$
$$\frac{\left(-37\right) 7}{70} < -3$$
-37 ---- < -3 10
the solution of our inequality is:
$$x < - \frac{3}{7}$$
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Solving inequality on a graph
Rapid solution
[src]
And(-oo < x, x < -3/7)
$$-\infty < x \wedge x < - \frac{3}{7}$$
(-oo < x)∧(x < -3/7)
Rapid solution 2
[src]
(-oo, -3/7)
$$x\ in\ \left(-\infty, - \frac{3}{7}\right)$$
x in Interval.open(-oo, -3/7)