Question

Solve the given inequality. 4.2x > 6.3

Answer 1

Answer:

x > 1.5

Step-by-step explanation:

In order to solve for x, we must isolate x on one side of the inequality.

$4.2x > 6.3$

x is being multiplied by 4.2 The inverse of multiplication is division. Divide both sides of the equation by 4.2

$\frac{4.2x}{4.2} >\frac{6.3}{4.2}$

$x> \frac{6.3}{4.2}$

$x> 1.5$

The solution to the inequality 4.2x > 6.3 is x>1.5

Answer 2

Answer:

$\huge\boxed{x>1\dfrac{1}{2}\to x\in\left(1\dfrac{1}{2},\ \infty\right)}$

Step-by-step explanation:

$4.2x>6.3\qquad/\text{divide both sides by 4.2}\\\\\dfrac{4.2x}{4.2}>\dfrac{6.3}{4.2}\\\\x>\dfrac{6.3\cdot10}{4.2\cdot10}\\\\x>\dfrac{63:21}{42:21}\\\\x>\dfrac{3}{2}\\\\x>1\dfrac{1}{2}$