Which numbers are solutions of each inequality?
1) X < 1: -2 , 1, 2
I WROTE: -2<1 TRUE
2) X > -5 : -7, -5 , -1
I WROTE: -1 > -5 TRUE
i have more problems but i don't know how to type to you the ones that have symbol of < with line under to show: less than or equal to
like: x is less than or equal to -9: -12, -4, 2
would the answer be: -4 true and 2 true?
Your first two answers are right.
I think - 12 is the only answer for the third problem.
#4)
x < -8: -10, -5, 0
i wrote: -10
-10 < -8 true
#5) x is greater than or equal to -4:
-6 , -1 , 0
i wrote
-1 and 0 true
#6) x is less than or equal to -1:
-1 , 1, 3
i wrote:
-1 true
are these right?
To determine the numbers that are solutions to the inequality with a symbol of "<" (less than), you need to find the numbers that are strictly smaller than the given value.
1) For the inequality X < 1, the numbers given are -2, 1, and 2. From these numbers, you can see that -2 is less than 1, which means it satisfies the inequality. However, 1 and 2 are not less than 1, so they do not satisfy the inequality. Therefore, the correct answer would be -2.
2) For the inequality X > -5, the numbers given are -7, -5, and -1. From these numbers, you can see that -7 and -1 are both greater than -5, so they satisfy the inequality. However, -5 is not strictly greater than -5; it is equal to -5. Since the inequality is strict (with the symbol ">" indicating strictly greater than), -5 does not satisfy the inequality. Therefore, the correct answer would be -7 and -1.
For the inequalities with the symbols "<=" (less than or equal to), you also include the equal values.
3) For the inequality X <= -9, the numbers given are -12, -4, and 2. From these numbers, you can see that both -4 and 2 are less than or equal to -9, so they satisfy the inequality. However, -12 is not less than or equal to -9. Therefore, the correct answers would be -4 and 2.