Question 686465


{{{Equality}}} is when two things are equal. Equations are equalities. Solving them finds the value of the unknown variable; it finds what that variable is equal to.

example:

{{{ 5x - 7 = 23}}}

{{{5x = 30}}}

{{{x = 6}}}


{{{Inequalities}}} are written like equations, but when you solve them you end up with a {{{large}}} {{{range}}} of solutions. These will tell you what it is possible for the variable to be, not what it actually is, because you cannot tell from the information given.

example:

{{{ 4x - 13 > 7}}}

{{{4x > 20}}}

{{{x > 5}}}

{{{x}}} must be {{{greater}}} than {{{5}}}

{{{4 - 3x <=  0}}}.....(less than or equal to)

{{{4 <= 3x}}}

{{{3x >= 4}}}

{{{x >= 4/3}}}

{{{x}}} is {{{greater}}} than {{{or}}}{{{ equal}}} to {{{4/3}}}

{{{52}}} is {{{not}}}{{{ equal}}} to {{{13x}}}

{{{x}}} is {{{not}}}{{{ equal}}} to {{{4}}}