What is the solution to the inequality $7x - 5 ≥ x + 1$ ?

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Answer 1 · 2016-07-06T04:54:54

$x>=1$ , or, in the interval form, $x in [1,oo)$

Adding $(-x+5)$ on both sides, we get,
$7x-5-x+5>=x+1-x+5 rArr 6x>=6$

Next, we multiply on both side by $1/6$ , noting that $1/6$ being $+ve$ , the multiplication will not affect the order of the inequality.

Hence, we have, $x>=1$ , or, in the interval form, $x in [1,oo)$

What is the solution to the inequality 7x - 5 ≥ x + 17x - 5 ≥ x + 1?