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Question
Solve for x in the inequality.

−1.7x≥5.95


(1 point)
Responses

x≤−3.5
x is less than or equal to negative 3 point 5

x≤3.5
x is less than or equal to 3 point 5

x≥3.5
x is greater than or equal to 3 point 5

x≥−3.5
x is greater than or equal to negative 3 point 5
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1 answer

To solve the inequality \(-1.7x \geq 5.95\), follow these steps:

  1. Divide both sides of the inequality by \(-1.7\). Remember that when you divide or multiply by a negative number, you must reverse the inequality sign:

\[ x \leq \frac{5.95}{-1.7} \]

  1. Calculate the right-hand side:

\[ \frac{5.95}{-1.7} \approx -3.5 \]

So the inequality becomes:

\[ x \leq -3.5 \]

The correct response is:

x ≤ −3.5 (x is less than or equal to negative 3 point 5)