Question

Show the graph of the solution on number line 37x-(3x+5)≤9x-8(x-3)​

Answer 1

Answer:

Step-by-step

Given, 37−(3x+5)≥9x−8(x−3)

⇒37−3x−5≥9x−8x+24

⇒32−3x≥x+24

⇒32−24≥x+3x

⇒8≥4x⇒x≤2 or x∈(−∞,2]

Answer 2

Consider the given inequality:

${:\implies \quad \sf 37x-(3x+5)\leqslant 9x-8(x-3)}$

${:\implies \quad \sf 37x-3x-5\leqslant 9x-8x+24}$

${:\implies \quad \sf 34x-5\leqslant x+24}$

Add 5 and subtract x from both sides

${:\implies \quad \sf 33x\leqslant 29}$

Divide both sides by 33

${:\implies \quad \sf x\leqslant \dfrac{29}{33}}$

${:\implies \quad \boxed{\bf{x\in \bigg(-\infty,\dfrac{29}{33}\bigg]}}}$

Refer to the attachment as well