when 26 is subtracted from 4 times a number , the result is greater than ten added to the number. what numbers are possible ?
4x -26 > x + 10
3x > 36
The answer is x > 12
To find the numbers that satisfy the given condition, let's break down the problem step by step:
Step 1: Let's assume the number we are looking for is represented by "x".
Step 2: According to the problem, "26 is subtracted from 4 times a number." This can be represented as: 4x - 26.
Step 3: The problem also states that "the result is greater than ten added to the number." This can be represented as: 10 + x.
Step 4: Now we have the inequality: 4x - 26 > 10 + x.
Step 5: Let's solve the inequality to find the numbers that satisfy it:
Subtract x from both sides:
4x - x - 26 > 10 + x - x
3x - 26 > 10
Add 26 to both sides:
3x - 26 + 26 > 10 + 26
3x > 36
Divide both sides by 3:
(3x)/3 > 36/3
x > 12
Step 6: The solution to the inequality is x > 12. This means any number greater than 12 will satisfy the given condition.
In conclusion, the possible numbers that satisfy the given condition are any numbers greater than 12.