Marcoooo1567
Marcoooo1567 Marcoooo1567
  • 02-12-2021
  • Mathematics
contestada

Solve the inequality.

–5x – 7 < 28
______________

x < - 21/5

x > 21/5

x > –7

x < –7

Respuesta :

Аноним Аноним
  • 03-12-2021

Answer:

[tex]\boxed{\boxed{\sf x>-7}}[/tex]

Step-by-step explanation:

[tex]\sf -5x-7<28[/tex]

Add 7 to both sides:

  • [tex]\sf -5x-7+7<28+7[/tex]
  • [tex]\sf -5x<35[/tex]

Multiply both sides by -1:

  • [tex]\sf \left(-5x\right)\left(-1\right)>35\left(-1\right)[/tex]
  • [tex]\sf 5x>-35[/tex]

Divide both sides by 5:

  • [tex]\sf \cfrac{5x}{5}>\cfrac{-35}{5}[/tex]
  • [tex]\sf x>-7[/tex]

_________________________________

Answer Link

Otras preguntas

Which one replace the question mark?​
what is 4 kilograms kg in grams g
The website is offering a discount of $7.50 on all Bolga basket orders. Which expression can you use to find the total price of a basket order? 7.56+42 426-7.5
Which is the first siimple molcules of food produced during photosynthesis?
how many 1 cm cubes are there in 100 cm cubes volume?​
Una finca rectangular tiene un perímetro de 2500 metros ¿cuánto mide el largo y el ancho de la finca si su largo tiene 50 metros más que el doble de su ancho?
definition of populism​
Examine a partial order relation where is the relation on the set of people such that if and are people and is older than .
Examine a partial order relation where is the relation on the set of people such that if and are people and is older than .
Jin met Pat on September 8 at Queen Bank. After talking with Pat, Jin decided she would like to consider a $9,000 loan at 1012% to be repaid on February 17 of t