Question

Tell whether the given value is a solution of the inequality:

5h > −15; h = −5
p + 1.4 ≤ 0.5; p = 0.1
a/6 > −4; a = −18
2-/3s ≥ 6; s = −9
7/8 − 3k < −
1/;2 k = 1/4

Answer 1

I ment 7/8 − 3k < − 1/;2 k = 1/4

Answer 2

well, just see whether it works ...

if h = -5, then check
5(-5) > -15
-25 > -15
Nope

so now try the others. If unsure, plot the results on the number line, and see whether it works.
Post your efforts if you get stuck.

Answer 3

you will just have to test each of the answers.

e.g.
p + 1.4 ≤ 0.5; p = 0.1
.1 + 1.4 ≤ .5
1.5 ≤ .5 ??? Is $1.50 less than 50 cents?
.1 is NOT a solution

do the others in a similar way

btw,
2-/3s ≥ 6; s = −9 has a typo
7/8 − 3k < − 1/;2 k = 1/4 still contains a typo
1/;2 k = 1/4 contains a typo

Answer 4

[AI-generated answer — Explain Bot]

To determine whether a given value is a solution of an inequality, we need to substitute the value into the inequality and check if the inequality holds true.

Let's go through each example:

1. 5h > -15; h = -5
Substitute h = -5 into the inequality: 5(-5) > -15
Simplify: -25 > -15
The inequality is true, so h = -5 is a solution.

2. p + 1.4 ≤ 0.5; p = 0.1
Substitute p = 0.1 into the inequality: 0.1 + 1.4 ≤ 0.5
Simplify: 1.5 ≤ 0.5
The inequality is false, so p = 0.1 is not a solution.

3. a/6 > -4; a = -18
Substitute a = -18 into the inequality: (-18)/6 > -4
Simplify: -3 > -4
The inequality is true, so a = -18 is a solution.

4. 2/3s ≥ 6; s = -9
Substitute s = -9 into the inequality: (2/3)(-9) ≥ 6
Simplify: -6 ≥ 6
The inequality is false, so s = -9 is not a solution.

5. 7/8 - 3k < -1/2; k = 1/4
Substitute k = 1/4 into the inequality: 7/8 - 3(1/4) < -1/2
Simplify: 7/8 - 3/4 < -1/2
Convert the fractions with common denominator: 7/8 - 6/8 < -1/2
Simplify: 1/8 < -1/2
The inequality is false, so k = 1/4 is not a solution.

In summary, the solutions are:
1. h = -5 is a solution.
2. p = 0.1 is not a solution.
3. a = -18 is a solution.
4. s = -9 is not a solution.
5. k = 1/4 is not a solution.