Solve the inequality. Graph and check your solutions.

1/2+a>-3/2

1 answer

To solve the inequality 1/2 + a > -3/2, we can subtract 1/2 from both sides:

a > -3/2 - 1/2

Simplifying the right side:

a > -4/2
a > -2

To graph the solution, we can plot an open circle at -2 on the number line since the inequality is "greater than" and not "greater than or equal to".

To check the solutions, we can pick a value greater than -2, such as 0, and substitute it into the original inequality:

1/2 + 0 > -3/2
1/2 > -3/2

Since 1/2 is greater than -3/2, the inequality holds true for this value.

Therefore, the solution is a > -2, and it can be graphed as an open circle at -2 on the number line.