Solve the linear inequality
5- 7/6x greater than or equal to 7
5-(7/6x)> 7 Subtract both sides by 5
-(7/6x) > 7-5
-(7/6x) > 2 Multiple both sides by
-(7/6x) < 2-(6/7)
(1/x) > -12/7
x > -7/12
5-(7/6x)> 7 Subtract both sides by 5
-(7/6x) > 7-5
-(7/6x) > 2 Multiple both sides by
-(7/6x) < 2-(6/7)
(1/x) < -12/7
x < -7/12
Correction
To solve the linear inequality 5 - (7/6)x ≥ 7, we can follow these steps:
Step 1: Start by isolating the variable term on one side of the inequality. In this case, let's start by subtracting 5 from both sides:
5 - 5 - (7/6)x ≥ 7 - 5
(7/6)x ≥ 2
Step 2: To get rid of the fraction, we can multiply both sides of the inequality by the reciprocal of the fraction (6/7):
(6/7)(7/6)x ≥ (6/7)(2)
x ≥ 12/7 or x ≥ 1.71 (rounded to two decimal places)
So, the solution to the given linear inequality is x ≥ 1.71 or x ≥ 12/7.