Question

when a value is provided for the variable, substitute it in for the variable and solve. if the result make a true statement, then the inequality is true. unlike with equations, there are many possible values that can make an inequality true.
if x = 3
34 + x > 37
34 + 3 > 37
37 > 37
× false
x - 0 ≤ 3
3 - 0 ≤ 3
3 ≤ 3
√ true
18 < 20 - x
18 < 20 - 3
18 < 17
× false
if n = 4 and y = 2 determine whether each equation is true or false.

1. n + 6 > 6

4 + 6 > 6
______

1. n - y + 2 ≤ 10

4 - 2 + 2 ≤ 10
______

1. 9 > 13 - y

9 > 13 - 2
______

1. 20 - n < 16

20 - 4 < 16
______

1. 8 - n ≥ y + 1

8 - 4 ≥ 2 + 1
______

1. 2 + y - 3 > 7

2 + 2 - 3 > 7
______

Explanation:

Step1: Substitute n=4, y=2 (Q1)

$4+6>6$
$10>6$

Step2: Evaluate inequality (Q1)

$10>6$ is True

Step3: Substitute n=4, y=2 (Q2)

$4-2+2\leq10$
$4\leq10$

Step4: Evaluate inequality (Q2)

$4\leq10$ is True

Step5: Substitute n=4, y=2 (Q3)

$9>13-2$
$9>11$

Step6: Evaluate inequality (Q3)

$9>11$ is False

Step7: Substitute n=4, y=2 (Q4)

$20-4<16$
$16<16$

Step8: Evaluate inequality (Q4)

$16<16$ is False

Step9: Substitute n=4, y=2 (Q5)

$8-4\geq2+1$
$4\geq3$

Step10: Evaluate inequality (Q5)

$4\geq3$ is True

Step11: Substitute n=4, y=2 (Q6)

$2+2-3>7$
$1>7$

Step12: Evaluate inequality (Q6)

$1>7$ is False

Answer:

1. True
2. True
3. False
4. False
5. True
6. False