djtooley05
djtooley05 djtooley05
  • 20-08-2021
  • Mathematics
contestada

Solve the inequality.
-4 < 2x - 6 < 12
[?]

Solve the inequality 4 lt 2x 6 lt 12 class=

Respuesta :

Witcher3
Witcher3 Witcher3
  • 20-08-2021

Hi ;-)

-4 ≤ 2x - 6 ≤ 12

2x - 6 ≥ -4  / + 6

2x ≥ 2  / : 2

x ≥ 1

2x - 6 ≤ 12  / + 6

2x ≤ 18  / : 2

x ≤ 9

1 ≤ x ≤ 9

Answer Link
AlgebraicAardvark
AlgebraicAardvark AlgebraicAardvark
  • 20-08-2021
Treat this as any other inequality and focus on getting the x by itself.

First add 6 to everything to eliminate the -6 in the middle:
-4 + 6 ≤ 2x-6 + 6 ≤ 12 + 6

- 2 ≤ 2x < 18

Then divide everything by 2 to get the 2 off the 2x.

-2 / 2 ≤ 2x / 2 ≤ 18/2

- 1 ≤ x ≤ 9
Answer Link

Otras preguntas

Which ruler declared himself the first sultan of the Delhi sultanate?
Which of these questions is answered in the reading? a. How is forensic evidence presented to judges and juries? b. How do people train to be forensic scientist
Why is the 9th Amendment so important
how would you describe FDR's first 100 days in office
what is the role of dna in controlling cellular activity?
A row of plaques cover 120 square
I'm not sure how to answers these questions
What step did the United States take during World War II to decrease racial discrimination in America? 1.The government integrated the U.S. Army. 2.Congress abo
What is the purpose of travel insurance? 1 ) to help you save for a vacation 2) to cover the cost of travel expenses in case you are unable to travel 3) to pay
Which of the following lakes do not exist year-round? a. oxbow lakes b. playa lakes c. man-made lakes d. dam reservoirs