Question

-3 (x- 4/5) ≤ 6 solve step by step

Answer 1

-3(x - 4/5) ≤ 6

Distribute the -3:

-3x + 12/5 ≤ 6

Subtract 12/5 from both sides:

-3x ≤ 6 - 12/5

Find a common denominator:

-3x ≤ 30/5 - 12/5

-3x ≤ 18/5

Divide by -3, remembering to flip the inequality since we are dividing by a negative number:

x ≥ -18/15

Simplify:

x ≥ -6/5

Answer 2

To solve for x, we need to isolate x on one side of the inequality. We can start by distributing the -3 on the left side of the inequality.

-3x + 12/5 ≤ 6

Next, we can subtract 12/5 from both sides of the inequality to isolate the variable term on the left side.

-3x ≤ 6 - 12/5

Simplifying the right side of the inequality:

-3x ≤ 30/5 - 12/5
-3x ≤ 18/5

Finally, we can divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to reverse the direction of the inequality.

x ≥ -18/15

Simplifying:

x ≥ -6/5

Therefore, the solution for the inequality is x ≥ -6/5.