write an inequality
the sum of 3 times a number and 4 is between -8 and 10
To write an inequality that satisfies the given condition, let's break down the problem into steps:
Step 1: Define the unknown number
Let's assume that the unknown number is "x".
Step 2: Express the sum of 3 times the number and 4
The equation for the sum of 3 times a number and 4 can be written as: 3x + 4.
Step 3: Define the range
The condition states that the sum of 3 times the number and 4 is between -8 and 10.
Step 4: Write the inequality
Now, we can write the inequality using the expression from step 2 and the given range. The inequality is as follows:
-8 < 3x + 4 < 10
Thus, the inequality that satisfies the given condition is -8 < 3x + 4 < 10.