damisi
damisi damisi
  • 09-01-2019
  • Mathematics
contestada

Which of the following is the solution to the inequality below ? -6/5(4-x)<_-4(X+1/2)

Which of the following is the solution to the inequality below 654xlt4X12 class=

Respuesta :

calculista
calculista calculista
  • 09-01-2019

Answer:

The answer is the option D

[tex]x\leq 7/13[/tex]

Step-by-step explanation:

we have

[tex]-\frac{6}{5}(4-x)\leq -4(x+\frac{1}{2})[/tex]

Multiply by [tex]-5[/tex] both sides

[tex]6(4-x)\geq 20(x+0.5)\\24-6x\geq20x+10\\24-10\geq 20x+6x\\14\geq 26x[/tex]

Rewrite

[tex]26x\leq 14\\x\leq 14/26\\ x\leq 7/13[/tex]

Answer Link

Otras preguntas

A current of 12 amps is measured in a circuit with a total resistance of 9.0 ohms. What is the size of the voltage source that supplies this circuit?
Positrons are spontaneously emitted from the nuclei of (1) potassium-37 (3) nitrogen-16 (2) radium-226 (4) thorium-232
Which two particles have opposite charges? (1) an electron and a neutron (2) an electron and a proton (3) a proton and a neutron (4) a proton and a positron
Should the United States be praised or criticized for the military strategy of "Europe First"?
How did France become the leading power of Europe under the absolute of Louis XIV
How did France become the leading power of Europe under the absolute of Louis XIV
the moons gravity causes how many tides every 24 hours
In a chemical reaction you begin with 18 atoms. When the reaction is over you would expect to have __________ atoms remaining.
Which was a weakness Andrew Johnson brought to the presidency? A. stubbornness B. cowardice C. disloyalty D. flexibility
what is the formula for a half circle?