Answer :

[tex]21 + 21 \leqslant - 4z \\ - 4z \geqslant 42 \\ \frac{ - 4z}{ - 4} \geqslant \frac{42}{ - 4} \\ z \leqslant - 10.5[/tex]

ATTACHED IS THE SOLUTION

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A relationship between two expressions or values that are not equal to each other is called 'inequality. Z≤ -10.5 is the solution for inequality 21 ≤ −4z − 21.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is twenty one lesser or equal to minus four z minus twenty one.

21 ≤ −4z − 21.

We need to solve for z

Let us add twenty one on both sides

21+21≤ −4z − 21+21

42≤ −4z

Divide both sides by 4

10.5≤ -Z

-10.5≥Z

Z≤ -10.5

Hence Z≤ -10.5 is the solution for inequality 21 ≤ −4z − 21.

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