Solve the inequality 3−2(x+8)≤x+8 .(1 point)%0D%0AResponses%0D%0A%0D%0Ax≥113%0D%0Ax greater-than-or-equal-to Start Fraction 11 over 3 End Fraction%0D%0A%0D%0Ax≥−1%0D%0Ax greater-than-or-equal-to negative 1%0D%0A%0D%0Ax≤7%0D%0Ax less-than-or-equal-to 7%0D%0A%0D%0Ax≥−7%0D%0Ax greater-than-or-equal-to negative 7%0D%0ASkip to navigation%0D%0AHighlight%0D%0A%0D%0Apage 14 of 14
To solve the inequality, we need to simplify both sides of the inequality sign.
Starting with the left side: 3 - 2(x+8)
Using the distributive property, we get: 3 - 2x - 16
Combining like terms, we get: -2x - 13
Now we can rewrite the inequality as: -2x - 13 ≤ x + 8
To isolate the variable, we can subtract x from both sides: -3x - 13 ≤ 8
Then, we can add 13 to both sides: -3x ≤ 21
Finally, we divide both sides by -3, remembering to flip the inequality sign when dividing by a negative number: x ≥ -7
Therefore, the solution to the inequality is x ≥ -7.
3−2(x+8)≤x+8
3 - 2 x -16 ≤ x + 8
- 2 x -13 ≤ x + 8
- 3 x ≤ +21
- x ≤ 7
x >/= -7
agree, amazing