Solve Addition Inequalities Quick Check
2 of 5
2 of 5 Items
Question
Solve
x−
1
3
≤
1
2
. (1 point)
Responses
x≤
1
6
x less-than-or-equal-to Start Fraction 1 over 6 End Fraction
x≤
5
6
x less-than-or-equal-to Start Fraction 5 over 6 End Fraction
x≥
5
6
x greater-than-or-equal-to Start Fraction 5 over 6 End Fraction
x≥
1
6
x greater-than-or-equal-to Start Fraction 1 over 6 End Fraction
To solve the inequality x - 1/3 ≤ 1/2, follow these steps:
Step 1: Add 1/3 to both sides of the inequality:
(x - 1/3) + 1/3 ≤ 1/2 + 1/3
x ≤ 1/2 + 1/3
Step 2: Simplify the right-hand side:
x ≤ 3/6 + 2/6
x ≤ 5/6
Therefore, the solution to the inequality is x ≤ 5/6.
To solve the inequality x - (1/3) ≤ 1/2, we can follow these steps:
Step 1: Start by adding (1/3) to both sides of the inequality to isolate the variable x:
x - (1/3) + (1/3) ≤ 1/2 + (1/3)
x ≤ (1/3) + (1/2)
Step 2: Simplify the right side of the inequality by finding a common denominator:
x ≤ (2/6) + (3/6)
x ≤ (5/6)
Therefore, the correct response is x ≤ 5/6.