Answer:
- Option A, B, and E is correct.
Explanation:
Let's simplify the in-equality. Then, choose the options given.
- => 1.6 ≥ 0.8x + 4
- => -4 + 1.6 ≥ 0.8x
- => -2.4 ≥ 0.8x
- => x = -2.4/0.8
- => x = -3
Now, let's choose our options.
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Option A
This option is similar to the simplification step where we simplified the inequality given. Since the option has included a bar under the "less than" sign, the bar defines that it is less than or equal to.
Hence, Option A must be correct.
Option B
- => 1.6 ≥ 0.8(-7) + 4
- => 1.6 ≥ -5.6 + 4
- => 1.6 ≥ -1.6
This is true because -1.6 is definitely less than 1.6.
Hence, Option B must be correct.
Option C
- => 1.6 ≥ 0.8(7) + 4
- => 1.6 ≥ 0.8(7) + 4
- => 1.6 ≥ 5.6 + 4
- => 1.6 ≥ 9.6
This is false because 9.6 is not less than 1.6.
Hence, Option C must me incorrect.
Option D
- => 1.6 ≥ 0.8(3) + 4
- => 1.6 ≥ 2.4 + 4
- => 1.6 ≥ 6.4
This is false because 6.4 is not less than 1.6.
Hence, Option D must be incorrect.
Option E
- => 1.6 ≥ 0.8(-4) + 4
- => 1.6 ≥ -3.2 + 4
- => 1.6 ≥ 0.8
This is true because 0.8 is definitely less than 1.6.
Hence, Option E must be correct.
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We can finally conclude that Option A, B, and E is correct.
Hoped this helped.
