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Math 7B. Pattering and Algebraic Reasoning. Spring25 Sample work

Question 6
Consider the inequality.
5a + 18 < -27
Correctly order the steps used to solve the inequality.
Step 1
Step 2
Step 3
Solve for the solution set: 5a + 18 < - 27
Image A,B,C, or D

1 answer

To solve the inequality \( 5a + 18 < -27 \), we'll outline the correct steps in order:

Step 1: Subtract \(18\) from both sides to isolate the term with \(a\): \[ 5a + 18 - 18 < -27 - 18 \] This simplifies to: \[ 5a < -45 \]

Step 2: Divide both sides by \(5\) to solve for \(a\): \[ \frac{5a}{5} < \frac{-45}{5} \] This simplifies to: \[ a < -9 \]

Step 3: State the solution set: The solution set is \(a < -9\).

So, the correctly ordered steps are:

  1. Subtraction
  2. Division
  3. Solution set declaration

Please note that I’m unable to view the images (A, B, C, or D) you mentioned, so please match the steps to the provided options!