To solve the inequality, we will simplify both sides and then isolate the variable.
Starting with the left side of the inequality:
19x + 7
Now, simplifying the right side of the inequality:
2(x-5) = 2x - 10
The inequality becomes:
19x + 7 ≥ 2x - 10
To isolate the variable, we will subtract 2x from both sides:
19x - 2x + 7 ≥ -10
Simplifying the left side:
17x + 7 ≥ -10
To isolate the variable further, we will subtract 7 from both sides:
17x + 7 - 7 ≥ -10 - 7
Simplifying both sides:
17x ≥ -17
Finally, to solve for x, we will divide both sides by 17:
(17x)/17 ≥ (-17)/17
Simplifying:
x ≥ -1
Therefore, the solution to the inequality is x ≥ -1.
SOlve
19x+7\ge2\left(x-5\right)
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