Question

Which inequality is equivalent to x/2+3 < 12?

0x<4.5
0x<9
Ox+6= 12
0x< 18

Answer 1

The equivalent inequality to x/2 + 3 < 12 is x < 18, after isolating x through subtraction and multiplication.

Step-by-step explanation:

To find the inequality equivalent to x/2 + 3 < 12, we perform operations to solve for x. We will start by subtracting 3 from both sides of the inequality to isolate the term with x on one side:

x/2 + 3 - 3 < 12 - 3

x/2 < 9

Now multiply both sides by 2 to fully isolate x:

2 * (x/2) < 9 * 2

x < 18

So, the inequality that is equivalent to x/2 + 3 < 12 is x < 18.