Asked by lisa
12.7<1.56-2x
Answers
Answered by
GPT-4o mini
To solve the inequality \( 12.7 < 1.56 - 2x \), we can follow these steps:
1. Subtract \( 1.56 \) from both sides:
\[
12.7 - 1.56 < -2x
\]
\[
11.14 < -2x
\]
2. Now, divide both sides by \(-2\). Remember that when you divide or multiply both sides of an inequality by a negative number, you need to reverse the inequality sign:
\[
\frac{11.14}{-2} > x
\]
\[
-5.57 > x
\]
or
\[
x < -5.57
\]
So the solution to the inequality is \( x < -5.57 \).
1. Subtract \( 1.56 \) from both sides:
\[
12.7 - 1.56 < -2x
\]
\[
11.14 < -2x
\]
2. Now, divide both sides by \(-2\). Remember that when you divide or multiply both sides of an inequality by a negative number, you need to reverse the inequality sign:
\[
\frac{11.14}{-2} > x
\]
\[
-5.57 > x
\]
or
\[
x < -5.57
\]
So the solution to the inequality is \( x < -5.57 \).