jacquelineventura456 jacquelineventura456
  • 12-12-2019
  • Mathematics
contestada

If a number minus 3 is at most 12, or 1 more than 2 times the number is at least 25, then the number must be less than or equal to 15, or greater than or equal to 12. True or False

Respuesta :

rani01654 rani01654
  • 19-12-2019

Answer:

The statement is true.

Step-by-step explanation:

Let us assume that x is the required number.

Now, given that the number minus 3 is at most 12.

Hence, x - 3 ≤ 12

⇒ x ≤ 15 ......... (1)

And also given that 1 more than 2 times the number is at least 25.

Hence, 2x + 1 ≥ 25

⇒ 2x ≥ 24

⇒ x ≥ 12 .......... (2)

Therefore, from equations (1) and (2) we get the number must be greater than or equal to 12 or less than or equal to 15.

So, the statement is true. (Answer)

Answer Link

Otras preguntas

A Senate procedure that allows members to extend debate of a bill indefinitely is called
Do the ratios 4ft./6ft. and 12sec/18sec form a proportion? Why or why not?
2. A multiple-choice test contains 10 questions. There are four possible answers for each question lo how many ways can a student answer the questions on the te
Solve Ax + By = −C for x.
A voltmeter is used to determine the voltage across a parallel plate capacitor; the positive plate has a 400 kV higher electric potential than the negative plat
If f(x)=5x , what is f-1 (x)?
Nepal bata ko ko hun hajir houn ta
Drag each tile to the correct box. Lucia is walking barefoot in her yard. She accidentally steps on a nail. How will her nervous system work to generate a reac
What is the primary source of energy for food chains in an ecosystem​
Calculate the mass of a 0.9 m^3 block of a material having a density of 12500 kg/m^3.