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Consider the following inequality:4x−3≤−x−64𝑥−3≤−𝑥−6Step 1 of 2 :  Write the solution using interval notation.

Question

Consider the following inequality:4x−3≤−x−64𝑥−3≤−𝑥−6Step 1 of 2 :  Write the solution using interval notation.

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Solution

To solve the inequality 4x - 3 ≤ -x - 6, we first need to isolate x.

Step 1: Add x to both sides of the inequality to get 5x - 3 ≤ -6.

Step 2: Add 3 to both sides of the inequality to get 5x ≤ -3.

Step 3: Divide both sides by 5 to get x ≤ -3/5.

In interval notation, the solution is (-∞, -3/5].

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