Question

solve the following inequalities and show the graph of the solution 1. 2x-1/12-x-1/3<3x+1/4.​

Answer 1

The solution is x>0.

• In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign " to indicate that two values are not equal. But several inequalities are utilised to compare the numbers, whether it is less than or higher than.
• In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It signifies that the expression on the left-hand side should be more than or less than the expression on the right-hand side or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.

Here, according to the given information, the inequalities are given as,

$\frac{2x-1}{12} -\frac{x-1}{3} < \frac{3x+1}{4}$

Or, $\frac{2x-1-4x+4}{3} < 3x+1$

Or, $-2x+3 < 9x+3$

Or, $11x > 0$

Or, $x > 0$.

Hence, the solution is x>0.

Learn more here

https://brainly.in/question/51347917

#SPJ1