Question

Drag each equation to the correct location on the table.

Answer 1

Answer:

A) 4 + 3a + 8 < 16    ⇒a < 4/3

B) 5a − 4a + 6 < 8    ⇒a < 2

C) 2a + 3 < 9 − 3 a  ⇒ a < 6/5

D) 14 + 5a < 12a + 1     ⇒ a > 13 / 7

E) 2a + 3 > 10 − 3a   ⇒ a < 7/5

F) 3a − 2a + 1 > 2  ⇒ a < 1

Step-by-step explanation:

The given question is INCOMPLETE as the options are MISSING.

So, here let us solve each inequality for the value of a.

A) 4 + 3a + 8 < 16

⇒ 3 a + 12  < 16

or, 3 a < 16 -12  = 4

or, a < 4/3

B) 5a − 4a + 6 < 8

⇒ a < 8 - 6

or, a < 2

C) 2a + 3 < 9 − 3a

⇒ 2a +  3a  < 9 - 3

or, 5a < 6 , or a < 6/5

D) 14 + 5a < 12a + 1

⇒ 14  - 1 <12 a  - 5 a

or, 13 < 7 a

or, a > 13 / 7

E) 2a + 3 > 10 − 3a

⇒ 2a +  3a  < 10 - 3

or, 5a < 7 , or a < 7/5

F) 3a − 2a + 1 > 2

⇒ a  < 2 - 1

or, a < 1