The solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
<h3>How to determine the solution to the
compound inequality?</h3>
The compound inequality is given as:
1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a
Rewrite the compound inequality properly as follows
1.25a + 3 >0.5a - 6 and 2.5a - 1 >= 9 - 1.5a
Collect the like terms in the above compound inequality
1.25a - 0.5a > -3- 6 and 2.5a + 1.5a >= 9 + 1
Evaluate the like terms in the above compound inequality
0.75a > -9 and 4a>= 10
Divide both sides by the coefficient of the variable term in the above compound inequality
a > -12 and a>= 2.5
Hence, the solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
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