Solve the inequality
6(x-2)-3>= -3(-2+9)+7
PLS help need this to pass
6(x-2)-3> = -3(-2+9)+7
6x-12-3 >= -3(7)+7
6x-15 >= -21+7
6x-15 >= -14
6x >= 29
x >= 29/6
I suspect a typo, so fix it and follow the same steps.
If the typo is what I think it is, there is no solution.
or, maybe infinitely many solutions.
6 ( x - 2 ) - 3 ≥ - 3 ( - 2 + 9 ) + 7
6 ∙ x - 6 ∙ 2 - 3 ≥ - 3 ∙ 7 + 7
6 x - 12 - 3 ≥ - 21 + 7
6 x - 15 ≥ - 14
Add 15 to both sides
6 x ≥ 1
x ≥ 1 / 6
thanks this helped me so much
To solve the inequality 6(x-2)-3>= -3(-2+9)+7, we will follow the steps below:
Step 1: Simplify both sides of the inequality.
Starting with the left side:
6(x-2) - 3 = 6x - 12 - 3 = 6x - 15
And now simplifying the right side:
-3(-2 + 9) + 7 = -3(7) + 7 = -21 + 7 = -14
Our inequality now becomes:
6x - 15 ≥ -14
Step 2: Isolate the variable.
To isolate the variable (x), we need to move the constants to the other side of the inequality. In this case, we will add 15 to both sides:
6x - 15 + 15 ≥ -14 + 15
6x ≥ 1
Step 3: Solve for the variable.
To find the value of x, we need to divide both sides of the inequality by the coefficient of x, which is 6:
(6x)/6 ≥ 1/6
x ≥ 1/6
Therefore, the solution to the inequality 6(x-2)-3 ≥ -3(-2+9)+7 is x ≥ 1/6.