Question

Q. Simplify:-
(x + 2y - 5z)^z (x-2y + 5z)^z​

Answer 1

Answer:

Solve the following in equation, write down the solution set and represent it on the real numbers:

Solve the following in equation, write down the solution set and represent it on the real numbers: ( 1 ) -2+10x ≤ 13x +10 < 24+ 10x

Solve the following in equation, write down the solution set and represent it on the real numbers: ( 1 ) -2+10x ≤ 13x +10 < 24+ 10x( X belongs to Z)

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−2+10x≤13x+10⇒−3x≤12⇒−x≤4⇒x≥−4 < /u > < /em > < /strong > < /li > < li > < strong > < em > < u > [tex]−2+10x≤13x+10⇒−3x≤12⇒−x≤4⇒x≥−413x+10 < 24+10x⇒3x < 14⇒x < < /u > < /em > < /strong > < /li > < li > < strong > < em > < u > [tex]−2+10x≤13x+10⇒−3x≤12⇒−x≤4⇒x≥−413x+10 < 24+10x⇒3x < 14⇒x < 3 < /u > < /em > < /strong > < /li > < li > < strong > < em > < u > [tex]−2+10x≤13x+10⇒−3x≤12⇒−x≤4⇒x≥−413x+10 < 24+10x⇒3x < 14⇒x < 314−2+10x≤13x+10⇒−3x≤12⇒−x≤4⇒x≥−4</u></em></strong></li><li><strong><em><u>[tex]−2+10x≤13x+10⇒−3x≤12⇒−x≤4⇒x≥−413x+10<24+10x⇒3x<14⇒x<</u></em></strong></li><li><strong><em><u>[tex]−2+10x≤13x+10⇒−3x≤12⇒−x≤4⇒x≥−413x+10<24+10x⇒3x<14⇒x<3</u></em></strong></li><li><strong><em><u>[tex]−2+10x≤13x+10⇒−3x≤12⇒−x≤4⇒x≥−413x+10<24+10x⇒3x<14⇒x<314

the range of x values satisfying the above inequalities

is −4≤x < < /u > < /em > < /strong > < /li > < li > < strong > < em > < u > [tex]is −4≤x < 3 < /u > < /em > < /strong > < /li > < li > < strong > < em > < u > [tex]is −4≤x < 314is−4≤x<</u></em></strong></li><li><strong><em><u>[tex]is−4≤x<3</u></em></strong></li><li><strong><em><u>[tex]is−4≤x<314

Thus

Thus

Thus The number line depicting the range is shown above.