Definition, Solved Example Problems, Exercise | Algebra | Mathematics - Linear Inequalities | 11th Mathematics : UNIT 2 : Basic Algebra
Chapter: 11th Mathematics : UNIT 2 : Basic Algebra
Linear Inequalities
Recall that a function of the form f(x) = ax + b, a, b ∈ R are constants, is called a linear function, because its graph is a straight line.
Linear Inequalities
Recall that a function
of the form f(x) = ax + b, a, b ∈ R are constants, is called a linear function,
because its graph is a straight line. Here a is the slope of the
line and b is the y-intercept. If a ¹ 0, then x-intercept x = -b/a is obtained by solving f(x) = ax + b = 0.
But there are
situations where we need to consider linear inequalities.
For example to
describe a statement like “ A tower is
not taller than fifty feet.”
If x denotes the height of the tower in feet, then the above
statement can be expressed as x ≤ 50.
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11th Mathematics : UNIT 2 : Basic Algebra : Linear Inequalities | Definition, Solved Example Problems, Exercise | Algebra | Mathematics
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11th Mathematics : UNIT 2 : Basic Algebra