Math Problem Statement

Solve for xx and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution (\varnothing∅), leave the number line blank.

minus, 3, x, minus, 10, is greater than, 11, or, minus, 34, is less than or equal to, minus, 3, x, minus, 10

−3x−10>11or

−34≤−3x−10

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Inequalities
Number Line

Formulas

Solving inequalities: ax + b > c
Graphing solutions on a number line

Theorems

Inequality properties (addition, subtraction, multiplication, and division of inequalities)

Suitable Grade Level

Grade 8