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Solve the inequality   14≤-18-34⁢𝑥  and write the solution using:Interval Notation:

Question

Solve the Inequality

Solve the inequality
141834x 14 \leq -18 - 34x

and write the solution using:

Interval Notation:

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Solution

To solve the inequality 14 ≤ -18 - 34x, follow these steps:

Step 1: Add 18 to both sides of the inequality to isolate the term with x on one side. This gives you 32 ≤ -34x.

Step 2: Divide both sides of the inequality by -34 to solve for x. Remember that when you divide or multiply an inequality by a negative number, the direction of the inequality sign changes. So, -32/34 ≥ x.

Step 3: Simplify -32/34 to get -16/17 ≥ x.

In interval notation, the solution to the inequality is (-∞, -16/17]. This means that x can be any number less than or equal to -16/17.

This problem has been solved

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