Respuesta :
Answer:
[tex]Add \: \frac{1}{6} \: to \: both \: sides[/tex]
Step-by-step explanation:
[tex] - 5x - \frac{1}{6} \geqslant \frac{3}{2} \\ \Leftrightarrow - 5x - \frac{1}{6} + \frac{1}{6} \geqslant \frac{3}{2} + \frac{1}{6} \\ \Leftrightarrow - 5x \geqslant \frac{5}{3} \\ \Leftrightarrow x \leqslant - \frac{1}{3} [/tex]
The first step to solve the inequality is to add one-sixth to both sides. Then the correct option is A.
What is inequality?
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
The inequality can be solved as:-
-5x - ( 1 / 6 ) ≥ ( 3 / 2 )
Add ( 1 / 6 ) to both sides.
-5x - ( -1 / 6) + ( 1 / 6 ) ≥ ( 3 / 2 )
-5x ≥ ( 5 / 3 )
x ≤ ( -1 / 3 )
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