compound inequality
-4 ≤ 3 +7
I just see one, and yes, -4 <= 10
The full inequality is
-4 ≤ 3 +7x<24
I just broke it up into two parts. If you can help me with the full inequality I will appreciate it.
I forgot to put the word and
compound inequality
-4 ≤ 3 +7 and x<24
solve just like regular equations, working both at once.
-4 <= 3+7x < 24
subtract 3 everywhere to get
-7 <= 7x < 21
now divide through by 7:
-1 <= x < 3
To solve the compound inequality, -4 ≤ 3 + 7, you need to simplify the expression on the right side of the inequality sign. Adding 3 and 7 gives you 10. So, the inequality becomes -4 ≤ 10.
To determine if this compound inequality is true, you compare the values of -4 and 10. Since -4 is less than or equal to 10, the compound inequality is true.
Therefore, the solution to the compound inequality is all real numbers that are greater than or equal to -4, meaning the inequality can be written as -4 ≤ x, where x represents any real number that is greater than or equal to -4.