Write each compound inequality as an absolute value inequality.
1.3 < h < 1.5
Could someone give me the step too? Thanks
To write the compound inequality 1.3 < h < 1.5 as an absolute value inequality, you can follow these steps:
1. Start with the given compound inequality: 1.3 < h < 1.5.
2. Subtract 1.4 from each part of the inequality to center it around 0. This gives you: -0.1 < h - 1.4 < 0.1.
3. Take the absolute value of each part of the inequality. The absolute value of a number is the distance of that number from 0 on the number line. So, when you take the absolute value of h - 1.4, you get: |h - 1.4|.
4. Rewrite the compound inequality using the absolute value. The inequality -0.1 < h - 1.4 < 0.1 becomes: -0.1 < |h - 1.4| < 0.1.
Hence, the absolute value inequality equivalent to the compound inequality 1.3 < h < 1.5 is -0.1 < |h - 1.4| < 0.1.
It is higher then 1.3 and smaller then 1.5.
1.3 < 1.4 < 1.5