Respuesta :

The inequality form is x< -3(arrow with line underneath)
And the internal notation is (-♾,-3)

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The value of the x is greater than or equal to – 3 that is [tex]\bold{ -3 \geq x }[/tex]

SOLUTION:

Given that, we have to solve the given inequality for x value.

Now, we are given [tex]6-5 x \geq 21[/tex]

Then, let us take the given inequality.

[tex]\begin{array}{l}{\rightarrow 6-5 x \geq 21} \\\\ {\rightarrow-5 x \geq 21-6} \\\\ {\rightarrow-5 x \geq 15} \\\\ {\rightarrow 0 \geq 15+5 x} \\\\ {\rightarrow-15 \geq 5 x}\end{array}[/tex]

On dividing the above inequality with 5 on both the sides we get,

[tex]\rightarrow-3 \geq x[/tex]

Hence, the value of the x is greater than or equal to – 3.

Basic two steps to solve an equation or inequality that has more than one operation:

  1. Simplify using the inverse of addition or subtraction.
  2. Simplify further by using the inverse of multiplication or division.
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