VannessaQ20357 VannessaQ20357
  • 03-11-2022
  • Mathematics
contestada

my question:solve the equation or inequality.5t - 3 (7t + 1) < 93would the answer be 7 > -6?

Respuesta :

CiriloY215970 CiriloY215970
  • 03-11-2022

Answer:

Explanation:

To solve the inequality for t, we first expand the left-hand side to get:

[tex]5t-21t-3<93[/tex]

adding the like terms gives

[tex]-16t-3<93[/tex]

adding 3 to both sides gives

[tex]-16t<96[/tex]

At this point, we have to remember that dividing or multiplying an inequality by a negative number reverses its sign. So when we divide our inequality by -16, the inequality reverses sign and we get:

[tex]t>-\frac{96}{16}[/tex][tex]\boxed{\therefore t>-6.}[/tex]

which is our answer!

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