Question

1.5a>12+3a

solve the inequality

Answer 1

a < -8

Explanation:

`1.5a\cdot \:10 > 12\cdot \:10+3a\cdot \:10\\= 15a > 120+30a\\15a-30a > 120+30a-30a\\= -15a > 120\\= \left(-15a\right)\left(-1\right) < 120\left(-1\right)\\= 15a < -120\\(15a)/(15) < (-120)/(15)\\(15a)/(15) < (-120)/(15)\\= (15a)/(15)\\(15)/(15)=1\\(-120)/(15)\\= -(120)/(15)\\(120)/(15) = 8\\= -8`

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Answer 2

a>-8

Explanation:

1.5a x 10<12 x 10 + 3a x 10 Multiply by 10 on each side

15a<120 + 30a

15a - 30a<120 + 30a - 30a Cancel out 30 with -30 so that there is only one number with a in it

-15a<120

-15a(-1)>120(-1) Multiply by -1 to get -15a to be positive

15a>-120

15a/15>-120/15 Divide by 15 to get a alone

a>-8