An equation has a defined answer. An inequality can have a range of answers. 2x=46 x must be 23. m<1 m can be from 0.999 repeating to -∞.
They both: - have variables, - are open sentences, - consist of two expressions joined by a "verb" (equals or inequality sign), - have solution sets (which may be empty or have one or more elements).
0.4Y+5=1
You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.
The boundary of an inequality is formed by the corresponding equation.
An equation has a defined answer. An inequality can have a range of answers. 2x=46 x must be 23. m<1 m can be from 0.999 repeating to -∞.
They both: - have variables, - are open sentences, - consist of two expressions joined by a "verb" (equals or inequality sign), - have solution sets (which may be empty or have one or more elements).
0.4Y+5=1
You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.
Solving inequalities and equations are the same because both have variables in the equation.
The boundary of an inequality is formed by the corresponding equation.
Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.
equations have an = sign, inequalities do not
An equation is composed of mathematical statements, which can be arranged to result in a series of equations/inequalities which can be solved for each unknown.
They are not. An inequality cannot, by definition, be the same as an equation.
The line that includes whatever variables are included in the equation.
An inequality with "and" is true if BOTH inequalities are true. Inequality with "or" is true if ONE of the inequalities are true.