Determine whether each number is a solution of the inequality below.
2x+3≤-4
a. 1
b. 0
c. 2
To determine whether each number is a solution of the inequality, we substitute the value of each number into the inequality and see if the resulting statement is true or false.
a. Substitute 1 into the inequality:
2(1) + 3 ≤ -4
2 + 3 ≤ -4
5 ≤ -4
The statement is false because 5 is not less than or equal to -4. Therefore, 1 is not a solution of the inequality.
b. Substitute 0 into the inequality:
2(0) + 3 ≤ -4
0 + 3 ≤ -4
3 ≤ -4
The statement is false because 3 is not less than or equal to -4. Therefore, 0 is not a solution of the inequality.
c. Substitute 2 into the inequality:
2(2) + 3 ≤ -4
4 + 3 ≤ -4
7 ≤ -4
The statement is false because 7 is not less than or equal to -4. Therefore, 2 is not a solution of the inequality.
Therefore, none of the given numbers (a. 1, b. 0, c. 2) are solutions of the inequality 2x + 3 ≤ -4.
To determine whether each number is a solution of the inequality 2x + 3 ≤ -4, we can substitute each number into the inequality and check if the resulting expression is true or false.
a. Let's substitute 1 into the inequality:
2(1) + 3 ≤ -4
2 + 3 ≤ -4
5 ≤ -4
This is false, so 1 is not a solution of the inequality.
b. Let's substitute 0 into the inequality:
2(0) + 3 ≤ -4
0 + 3 ≤ -4
3 ≤ -4
This is false, so 0 is not a solution of the inequality.
c. Let's substitute 2 into the inequality:
2(2) + 3 ≤ -4
4 + 3 ≤ -4
7 ≤ -4
This is false, so 2 is not a solution of the inequality.
Therefore, none of the given numbers (1, 0, 2) are solutions of the inequality 2x + 3 ≤ -4.
To determine whether each number is a solution of the inequality 2x + 3 ≤ -4, we can substitute each number into the inequality and check if the statement is true or false.
a. Let’s substitute 1 into the inequality:
2(1) + 3 ≤ -4
2 + 3 ≤ -4
5 ≤ -4
Since 5 is not less than or equal to -4, 1 is not a solution of the inequality.
b. Now let’s substitute 0 into the inequality:
2(0) + 3 ≤ -4
0 + 3 ≤ -4
3 ≤ -4
Again, 3 is not less than or equal to -4, so 0 is not a solution of the inequality.
c. Lastly, let’s substitute 2 into the inequality:
2(2) + 3 ≤ -4
4 + 3 ≤ -4
7 ≤ -4
Once again, 7 is not less than or equal to -4, so 2 is not a solution of the inequality.
In summary, none of the given numbers (1, 0, 2) are solutions to the inequality 2x + 3 ≤ -4.