Which of the following will be the solution for a two-order inequality?
(a) 3x - 7 > 17; x > 8 (b) x - 8 > 6; x > 14 (c) 3x < 66; x < 22 (d) None of these
Inequalities are very important concepts and must be learned thoroughly in order to master concepts of algebra. They are used to denote ranges of values, and can also be represented in the form of graphs. They are used extensively in linear programming and optimization problems to predict the values of parameters.
Answer: 3x - 7 > 17; x > 8 (Option (a)) is the solution of a two order inequality.
Let's have a look at the explanation.
A two-order inequality involves two steps to solve the equation or inequality.
let us analyze the given options :
Option (b): It is a one-order inequality since we only need to add 8 on both sides to get the solution.
Option (c): It is a one-order inequality since we only need to divide both sides by 3 to get the solution.
Option (a): It is the correct answer and is a two-order inequality since we first add 7 on both sides and then divide both sides by 3 to get the solution.