Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- (2^x)-6-((9*2^x-37)/(4^x-7*2^x+12))<=1/(2^x-4)
- ctgx<√3
- log0,9(x-4)>-log0,9(8-x)
- x-16<-1
- Sum of series:
-
-1
- Integral of d{x}:
-
-1
- Derivative of:
-
-1
-
Identical expressions
- x- sixteen <- one
- x minus 16 less than minus 1
- x minus sixteen less than minus one
-
Similar expressions
- x+16<-1
- x-16<+1
x-16<-1 inequation
The solution
Detail solution
Given the inequality:
$$x - 16 < -1$$
To solve this inequality, we must first solve the corresponding equation:
$$x - 16 = -1$$
Solve:
Given the linear equation:
Move free summands (without x)
from left part to right part, we given:
$$x = 15$$
$$x_{1} = 15$$
$$x_{1} = 15$$
This roots
$$x_{1} = 15$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 15$$
=
$$\frac{149}{10}$$
substitute to the expression
$$x - 16 < -1$$
$$-16 + \frac{149}{10} < -1$$
the solution of our inequality is:
$$x < 15$$
$$x - 16 < -1$$
To solve this inequality, we must first solve the corresponding equation:
$$x - 16 = -1$$
Solve:
Given the linear equation:
x-16 = -1
Move free summands (without x)
from left part to right part, we given:
$$x = 15$$
$$x_{1} = 15$$
$$x_{1} = 15$$
This roots
$$x_{1} = 15$$
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
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 15$$
=
$$\frac{149}{10}$$
substitute to the expression
$$x - 16 < -1$$
$$-16 + \frac{149}{10} < -1$$
-11 ---- < -1 10
the solution of our inequality is:
$$x < 15$$
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x1
Solving inequality on a graph