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

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.