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# 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