transtrashpanda
transtrashpanda transtrashpanda
  • 19-08-2020
  • Mathematics
contestada

Solve the equation 58 - 10x ≤ 20 + 9x

Respuesta :

pukwedgieamerica
pukwedgieamerica pukwedgieamerica
  • 19-08-2020

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

[tex]58-10x\leq20+9x[/tex]

Then, add [tex]10x[/tex] to both sides:

[tex]58-10x+10x\leq20+9x+10x\\58\leq20+19x[/tex]

Next, subtract [tex]20[/tex] from both sides:

[tex]58-20\leq20-20+19x\\38\leq19x[/tex]

Finally, divide both sides by [tex]19[/tex]:

[tex]\frac{38}{19}\leq\frac{19x}{19}\\2\leq x[/tex]

or

[tex]x\geq 2[/tex]

Therefore: the answer to this inequality/equation is: x≥2

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