The image shows solutions to the inequality a ≤ -1. How many solutions are there between —4 and —5?
• There are 9,999 solutions: all the decimals from -4.0001 to -4.9999.
• There are 999 solutions: all the decimals from -4.001 to -4.999.
• There are 99 solutions: all the decimals from -4.01 to -4.99
• an infinte number
3 answers
• There are 9,999 solutions: all the decimals from -4.0001 to -4.9999.
explain pls
In the given inequality a ≤ -1, we know that the solutions lie to the left of -1 on the number line. Since we are looking for solutions between -4 and -5, we are including all the decimal values between -4 and -5 that are less than or equal to -1.
To determine the number of solutions between -4 and -5, we can see that there are 9 possible decimal places between -4 and -5 (e.g., -4.0001, -4.0002, ... -4.9999). Since any decimal between -4 and -5 that is less than or equal to -1 satisfies the inequality, there are a total of 9,999 solutions between -4 and -5.
To determine the number of solutions between -4 and -5, we can see that there are 9 possible decimal places between -4 and -5 (e.g., -4.0001, -4.0002, ... -4.9999). Since any decimal between -4 and -5 that is less than or equal to -1 satisfies the inequality, there are a total of 9,999 solutions between -4 and -5.
1 answer