Question

Solve the linear inequality. Other than ∅​, graph the solution set on a number line.
Find the solution set in interval notation.

12x-8≤6x-15

Answer 1

The solution for the linear inequality, in interval notation, is $\:(-\infty \:,\:-\frac{7}{6}]$.

Inequality

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use of follow symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than) and > (greater than).

The solutions for inequalities can be given by: graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for  the given inequality.

                                 12x-8≤6x-15

                                12x-6x≤ -15+8

                                   6x≤-7

                                    x≤ -7/6

Read more about inequalities here.

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