Question

2.5 solve linear inequalities homework
score: 12/25 answered: 12/25
question 13
graph the solution to ( 5x + 17 < 7 ).
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
clear all draw: arrow, solid dot, open circle
question help: video written example
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Explanation:

Step1: Subtract 17 from both sides

To isolate the term with \( x \), we subtract 17 from both sides of the inequality \( 5x + 17 < 7 \). This gives us \( 5x + 17 - 17 < 7 - 17 \), which simplifies to \( 5x < -10 \).

Step2: Divide both sides by 5

Next, we divide both sides of the inequality \( 5x < -10 \) by 5 to solve for \( x \). So, \( \frac{5x}{5} < \frac{-10}{5} \), which simplifies to \( x < -2 \).

To graph this solution: On the number line, we use an open circle at \( -2 \) (because the inequality is \( < \), not \( \leq \)) and draw an arrow to the left to represent all numbers less than \( -2 \).

Answer:

The solution to the inequality \( 5x + 17 < 7 \) is \( x < -2 \). The graph has an open circle at \( -2 \) and an arrow pointing to the left.