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Maths > Linear Inequalities

Linear Inequalities

By now we have become very familiar with solving the linear equalities, which we also come across in our daily lives. But do you know what linear inequalities mean? Say, Ram has more than 10 apples in his hands. Can this situation be said is in a linear inequality condition? Let’s delve into it more in the following sections:

FAQs on Linear Inequalities

Question 1: How can one solve linear inequalities?

Answer: One can solve linear inequalities by:

  • Rearrangement of the equation such that “y” is on the left while everything other than it on the right.
  • Plotting of the “y=” line. One must make a dashed line for y< or y> and a solid line for y≤ or y≥.
  • In case of above the line, one must shade for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).

Question 2: What is meant by linear function?

Answer: Linear functions refer to those whose graph happens to be a straight line. A linear function has one dependent variable and one independent variable.

Question 3: How can one solve linear inequalities?

Answer: One can solve linear inequalities by keeping in mind the following points:

  • One can solve many simple inequalities by adding, subtracting, multiplying or dividing both sides until the variable remains on its own.
  • These things will cause a change in direction of the inequality
  • One must not multiply or divide by a variable

Question 4: What symbols are important for using in linear inequalities?

Answer: The symbols <, ≤, >, and ≥ are important in linear inequalities.

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