A history teacher is writing a test worth 100 points. She uses multiple-choice questions worth six points each and true/false questions with two points each. She wants the test to have three times as many multiple-choice questions as true/false questions. Let M represent the number of multiple-choice questions on a test and let T represent the number of true/false questions which system of equations can be used to find how many of each type of question she should write?

Astudent found the solution below for the given inequality. |x-9|< -4 x-9> 4 and x-9< -4 x> 13 and x< 5 which of the following explains whether the student is correct? -the student is completely correct because the student correctly wrote and solved the compound inequality. -the student is partially correct because only one part of the compound inequality is written correctly. -the student is partially correct because the student should have written the statements using “or” instead of “and.” -the student is completely incorrect because there is no solution to this inequality.