Question

6 3x−8≤23 AND −4x+26≥63

Answer 1

The solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4

How to determine the solution to the compound inequality?

The compound inequality is given as:

3x−8≤23 AND −4x+26≥63

Rewrite properly as:

3x − 8 ≤ 23 AND −4x + 26 ≥ 63

Add to both sides of compound inequality ,the constant in the compound inequality expression

So, we have:

3x ≤ 31 AND −4x ≥ 89

Divide both sides of compound inequality, by the coefficient of the variable x in the compound inequality expression

So, we have:

x ≤ 31/3 AND x ≤ -89/4

hence, the solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4

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