SOLUTION: Solve. 9/10(3+2x) +2>_ 23 The solution is {xlx ? ?} (of course _ is supposed to be under >) Will someone please help me with this one?

Question 143890: Solve.
9/10(3+2x) +2>_ 23
The solution is {xlx ? ?} (of course _ is supposed to be under >)
Will someone please help me with this one?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve this just the same way you would solve it if it were an equation instead of an inequality, except that if you have to multiply or divide by a negative number, you must reverse the sense of the inequality.

Check:

, so the equals part is ok.

Since is a little bigger than 10, pick a larger number, say .

, so the greater than part works.

Now pick a smaller number, say

, so a smaller number makes the relationship fail. Answer checks.

RELATED QUESTIONS
Solve 0.7x + 1 <_ 1.5x -6 (the _ is supposed to be under the <) The solution is... (answered by scott8148)

Solve and graph. -12<_2x+2 and 2x +2 < 4 (The _ is supposed to be under the <) Will... (answered by stanbon)

-2x < x + 1 < 7 the solution is {xlx?? (answered by edjones)
Solve and graph. 3x + 9 >_ -15 or 3x + 1 >_ -8 The solution is ?? Help me with... (answered by stanbon)
Solve: -10 <_ 3x-9 <_ -2 (the _ are supposed to be under the <) {x | ?? <_ x <_... (answered by stanbon)
Graph the inequality. y _> 3x Of course the line is supposed to be under the >. Can... (answered by elima)
x + 11 < - 2 or x + 11 > 4 The solution is xlx?? Can someone please help... (answered by vleith)
_8uz_ 5u__ 3u . 6z Of course these are supposed to be fractions and the 'dot' is... (answered by ankor@dixie-net.com)
Graph the inequality. 4x + 5y <_ 20 (of course the _ goes under the <) Can someone... (answered by stanbon)