What is the first step in solving cNegative 5 x minus one-sixth greater-than-or-equal-to three-halves ?
Add One-sixth to both sides.
Subtract One-sixth from both sides.
Divide both sides by –5.
Multiply both sides by –5.

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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