Question

Find the largest value of x for which: 2(x – 1) ≤ 5+ 3x, x Ɛ R

Answer 1

Answer:

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Answer 2

Given: $2(x-1)\leq 5+3x$, $x$∈$R$

To Find: The largest value of $x$

Solution,

Simplifying the equation:

$2\times(x-1)\leq 5+3x$

$2x-2\leq 5+3x$

Keeping $x$ the terms to L.H.S:

$2x-2\leq 5+3x$

Subtracting by $3x$ on both sides

$2x-2-3x\leq 5+3x-3x$

$-1x-2\leq 5$

$x-2\leq 5$

Moving constants to the R.H.S:

$x-2\leq 5$

Adding $2$ on both the sides

$x-2+2\leq 5+2$

$x\leq 7$

Multiplying both the side by $-1$

$x(-1)\leq 7(-1)$

$x\geq -7$

Final Answer: The largest value of $x$ is $-7$.