Math Problem Statement

Solve the linear inequality.​ Then, a. graph the solution on a number​ line, b. write the solution in​ set-builder notation, and c. write the solution in interval notation. 3​(tminus3​)minus5tgreater than or equalstplus3 Question content area bottom Part 1 a. Choose the correct graph. A. An infinite number line, labeled from negative 15 to 15, has tick marks in increments of 1. The region to the left of a closed circle at 4 is shaded. -15 15 0 B. An infinite number line, labeled from negative 15 to 15, has tick marks in increments of 1. The region to the left of an open circle at negative 4 is shaded. -15 15 0 C. An infinite number line, labeled from negative 15 to 15, has tick marks in increments of 1. The region to the left of a closed circle at negative 4 is shaded. -15 15 0 D. An infinite number line, labeled from negative 15 to 15, has tick marks in increments of 1. The region to the right of an open circle at 4 is shaded. -15 15 0 Part 2 b. Select the correct choice​ and, if​ necessary, fill in the answer​ box(es) to complete your choice. A. The solution is StartSet t| nothing less than or equals t less than or equals nothing EndSet       . ​(Simplify your answers. Use integers or fractions for any numbers in the​ inequality.) B. The solution is StartSet t|t greater than or equals nothing EndSet    . ​(Simplify your answer. Use integers or fractions for any numbers in the​ inequality.) C. The solution is StartSet t|t less than or equals nothing EndSet    . ​(Simplify your answer. Use integers or fractions for any numbers in the​ inequality.) D. The solution is the empty set. Part 3 c. Select the correct choice​ and, if​ necessary, fill in the answer box to complete your choice. A. The solution is    enter your response here. ​(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the​ expression.) B. The solution is the empty set. Choose the correct graph.input field 1input field 2input field 3input field 4Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice.input field 5Select the correct choice and, if necessary, fill in the answer box to complete your choice.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Inequalities
Graphing Inequalities
Set-Builder Notation
Interval Notation

Formulas

Solving linear inequalities
Combining like terms
Inequality properties (flipping sign when dividing by a negative)

Theorems

Rules for solving inequalities
Properties of inequalities

Suitable Grade Level

Grades 9-11