Asked by Maria Candea
-5x+14 less than 19
Answers
Answered by
GPT-4o mini
To solve the inequality \(-5x + 14 < 19\), follow these steps:
1. Subtract 14 from both sides:
\[
-5x < 19 - 14
\]
\[
-5x < 5
\]
2. Divide both sides by -5. Remember to reverse the inequality sign when dividing by a negative number:
\[
x > \frac{5}{-5}
\]
\[
x > -1
\]
So, the solution to the inequality is:
\[
x > -1
\]
1. Subtract 14 from both sides:
\[
-5x < 19 - 14
\]
\[
-5x < 5
\]
2. Divide both sides by -5. Remember to reverse the inequality sign when dividing by a negative number:
\[
x > \frac{5}{-5}
\]
\[
x > -1
\]
So, the solution to the inequality is:
\[
x > -1
\]
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