Inequality Problems (Part 1)

Algebra Level 2

Find the range of $x$ satisfying the inequality $2^{3x/4} < 2^{3/2}$ .

x < 2

0.75 x < 2

x > 2

0.75 x > 2

1 solution

Francis Cabanting
Aug 6, 2016

${ 2 }^{ \frac { 3 }{ 4 } x }< { 2 }^{ \frac { 3 }{ 2 } }$ , Because the terms (2) are the same so get rid of the 2 and remain their exponent. $\frac { 3 }{ 4 } x < \frac { 3 }{ 2 }$ Then multiply both the fractions by 4 so you get $3x<6$ . Then, divide both terms by 3 then you get ..... $x<2$

Inequality Problems (Part 1)

1 solution

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