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.
Solve the inequality. Graph and check your solutions.
1/2+a>-3/2
1 answer