marissaraymond marissaraymond

17-01-2019
Mathematics

contestada

Solve the inequality.

|3x + 6| < 12

–6 < x < 2

–21 < x < 3

–6 > x > 2

–2 < x < 2

Respuesta :

17-01-2019

[tex]|3x+6|<12\iff3x+6<12\ \wedge\ 3x+6>-12\qquad|\text{subtract 6 from both sides}\\\\3x<6\ \wedge\ 3x>-18\qquad\text{divide both sides by 3}\\\\\boxed{x<2\ \wedge\ x>-6\to\boxed{-6< x<2}}[/tex]

Answer Link

Otras preguntas

Please help, this is so confusing: Which two-dimensional figure could be a cross section of a rectangular pyramid that has been intersected by a plane perpendic

Which sentence uses capital letters correctly? A. "Tell me, Chief Grover," the reporter asked, "Who will be guarding the bank during the Festival?" B. "Tell me,

Writing that explains how things look, feel, taste, smell, or sound is called __________ writing.

Which circumstance most directly contributed to the environmental hazard of acid rain in Eastern Europe? a) the use of nuclear energy b) the lack of coal reserv

Prior to the American Revolution, the British repealed all of the new taxes they had levied on the colonists, with the exception of the _____ tax.

The electromagnetic wave shown above is made of vibrating

Which statement describes the offspring of the F1 generation when crossing a pea plant that is true breeding for green seeds with a pea plant that is true breed

Discuss why scientists know so little about Precambrian Earth

Jane has $10 more than Bill, Bill has $17 more than Tricia, and Tricia has $21 more than Steve. If the total amount of all their money is $135, how much money d

Find the largest number of children who can share equally 126 oranges and 147 bananas